{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "24708a5b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "import pandas as pd \n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "import numpy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c9c48963",
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_real():\n",
    "    real_data = torch.FloatTensor(\n",
    "        [random.uniform(0.8,1.0),\n",
    "         random.uniform(0.0,0.2),\n",
    "         random.uniform(0.8,1.0),\n",
    "         random.uniform(0.0,0.2),])\n",
    "    return real_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ca914de8",
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_random():\n",
    "    random_data = torch.rand(4)\n",
    "    return random_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9be8e55e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0.8022, 0.1243, 0.8663, 0.0611])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "generate_real()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ce6eddb7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0.9544, 0.8208, 0.9977, 0.9449])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "generate_random()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ef780eaf",
   "metadata": {},
   "outputs": [],
   "source": [
    "class Discriminator(nn.Module):\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "        self.model = nn.Sequential(\n",
    "            nn.Linear(4,3),\n",
    "            nn.Sigmoid(),\n",
    "            nn.Linear(3,1),\n",
    "            nn.Sigmoid()\n",
    "        )\n",
    "        #self.model = self.model.cuda()\n",
    "        self.loss_function = nn.MSELoss()\n",
    "        self.optimiser = torch.optim.SGD(self.parameters(), lr=0.01)\n",
    "        self.counter = 0\n",
    "        self.progress = []\n",
    "        pass\n",
    "    def forward(self, inputs):\n",
    "        return self.model(inputs)\n",
    "    def train(self, inputs, targets):\n",
    "        outputs = self.forward(inputs)\n",
    "        loss = self.loss_function(outputs, targets)\n",
    "        self.optimiser.zero_grad()\n",
    "        loss.backward()\n",
    "        self.optimiser.step()\n",
    "        self.counter +=1\n",
    "        if (self.counter % 10 == 0):\n",
    "            self.progress.append(loss.item())\n",
    "            pass\n",
    "        if (self.counter % 10000 == 0):\n",
    "            print(\"counter = \",self.counter, \"loss = \",loss.item())\n",
    "            pass\n",
    "    def plot_progress(self):\n",
    "        df = pd.DataFrame(self.progress, columns = ['loss'])\n",
    "        df.plot(ylim=(0, 1.0), figsize=(16,8), alpha=0.1, marker='.', grid=True, yticks=(0,0.25,0.5))\n",
    "        pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ef275f7d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "counter =  10000 loss =  0.1998196542263031\n",
      "counter =  20000 loss =  0.01428056787699461\n"
     ]
    }
   ],
   "source": [
    "D = Discriminator()\n",
    "for i in range(10000):\n",
    "    D.train(generate_real().reshape(1,4), torch.FloatTensor([1.0]).reshape(1,1))\n",
    "    D.train(generate_random().reshape(1,4), torch.FloatTensor([0.0]).reshape(1,1))\n",
    "    pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "86bae365",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/y1r7v7zkY4mIiIiIiOgdt0go/gsAPrLWfmytLQD8OoD/fMHnv8pjiYiIiIiI6B0irLVn/4EQ/wWAv2Ct/ZXpz78E4D+x1v7t2t98BcD/BS5L+gLA/9Za+81FHlt7jr8F4G8BwMOHD//Ur//6r1/93V2T0WiETqdz25tBx/C4NA+PSTPxuDQPj0kz8bg0z107JvuZgQXQjwQ8IW57c67NXTsu12Uvc112V+PllOOOS4tC20s9Z9OPyS/+4i/+vrX25+b9bpEmSfM+Tcej2q8B+Jy1diSE+F8A+L8C+LEFH+v+0dp/BuCfAcDP/dzP2a985SsLbNrt+OpXv4omb9+7iseleXhMmonHpXl4TJqJx6V57toxeTPIYAFsdiJ43v0NUO/acbkurwcZAOBhL17K8x1MSmRKX+o57/IxWSQUfwbg/drP78FlSWestQNr7Wj63/8GQCCE2FjksURERER0NxTKYJwrFOrdWI9xWc6uVySiukUC1N8F8GNCiA+FECGAvwLgX9f/QAjxSAhXtyCE+IXp875d5LFERERE1HyFMvjeqwE+eTvG870Jg1Qiuhbnlvhaa5UQ4m8D+HcAJID/fjq/9L+c/v6fAvgvAPxXQggFIAXwV6yb3Dr3sdf0XoiIiIjompTaIC01ktCHnf78Li19QUQ3Y5E5qFXZ7r859m//tPbf/w2A/2bRxxIRERHR3RJIDxACaaHQDqX7mYhoyRYKUImIiIjo3Rb6Hrb6MUpt8GSlxewpEV0LBqhEREREtJBAegikx+CUiK4Nry5ERERERETUCAxQiYiIiIiIqBEYoBIREREREVEjMEAlIiIiIiKiRmCASkRERERERI3ALr5ERERERNfIWgtA3PZm0D1SKINSm3vZVZsBKhERERER0R1RKIOPt0cQAgilhyer92td4vvzToiIiIiIiO65UhsMsxKltrDTn+8TBqhERERERER3RCA9QAikhYKofr5HWOJLRERERER0R4S+h61+jFIbPFm5X+W9AANUIiIiIiKiOyWQ3r1skAQwQCUiIiKihqs6lipjb3tTiOiaMUAlIiIiosaa5ArffDlAJ5LYSS0KZe5l1oiIHH66iYiIiKixJoUGrIUvPcDae9exlIiOYoBKRERERI1VdSyd5BoQ4t51LCWio1jiS0RERESNVXUslZ7AdiLuVnmvAMBps0QXwgCViIiIiBotkB7iQML3xG1vyqUwRiVa3B26BUVERER0MwplkCnXkIeIiG4OA1QiIiKimkIZPNsb4+XI/T+DVLqIQhmMc8XzhuiSWOJLREREVFNqg0lhIASQFm79zTs175FuTVZo/NHLA3QjH6H0EAYefI/nDl2dtRZC3M0S94viJ4aIiIioJpAeBIBM2dnPRIsYFwrWWAjh5p1ySRyii+MVl4iIiKgm9D08XkmwEgk8XkmYPaWF1ZfEEeDNDaLLYIkvERER0TGB7yHyBQIGp3QB1ZI4ngA2OjH20wKWLXyJLoQBKhERERHRkgTSQ+R7zLwTXRI/OURERER0LstUIBHdAAaoRERERERE1Ags8SUiInrHFcotpRJIliUSXYemJZ/5macmY4BKRET0DiuUwae7YwxShX7i4/21NgesRPdYoQx+9HaEwaTEajvkZ54ah2cjERHRO6zUBpNCI/Q9ZKXhuo1E91ypDdLcIA59FJqfeWoeBqhERETvsEB6EADSQnHdRqJ3QCA9CFF95gU/89Q4LPElIiJ6h4W+h8crCQZZiZUkZKkfnapp8yjvi5ueD1p95od5ifV2xM88NQ4DVCIiondc4HtohT4HqkQ3rJoDLgB4QuDJautGPoeB5Geemotn5SUoYzHOFQrFmn0iIiIiupxSG+yNCyhjYac/30UcG9MyMUC9oFGm8MlA49neBM/3JvwgEhHRvSHEbW8B0bslkB4gBAZpeWfngBfK4OXI4PUg49iYluLufQpuUaEMvvdqiNcjg+1Bzs5nRERERHRpoe9hqx9joxvdWHnvsh2kBcalhSdwp7PA1Bx371Nwi0ptoIxB6AtMCg2t7Z2800VERDQPm+AQ3by7Ph/U9zx4Ahjl+s5mgalZ2CTpAgLpYbMbIRQWceBhq5/c2YsJERER0UXw/gXNE/geVmOBB90IKy12Aqer4xl0AaHvYbMbw1igNAZvhhnr7ImI6N7gHFSi62HveXjvewKt6O5mgalZeBZdUKkNUg0obfFsf4Jxrm57k4iIiIiIqCEs50tcCUt8LyHxBZS2KLTmRHAiIiIieucxKKNlYQb1gtqRj34EjAsFDx72JwXLfImIiIiIiJaAGdQLCn0Pmy2J/kqEjU4CX3ootWHNPRERERFdWqHc8oWB9DiupBOsfXf6BDBAvYTYF2iHAUZZCRv6bMtPRERE9x5LOK9PqQ0+2x1DG7eE4XWviXrfmzbR3cbbM5fgewJr7RD7kwJKW2yzmy8REdHSFMpgnCt+t9I7o9QG+5MShXah413qcVJP6vGzS8vADOolKGPx6V6KwaSEMRaebLHMl4iIaAkKZfDJ2xE8CHieuPZMElETBNKDAZAWCu1QIpB375wvlcGrgxQCApKfXboCnjWXoAwQCIFJqfHiIMfL/ZRlvkREdKeV2mCU3X7mY5ZJMncvk0R0WYH0sNWPsdGN7mxgV312M2X42V2Wd2TO6XHMoF6C7wG9xEcUeAgBtKOAH0IiIrqzSmXw8iADrMUoL/HeavvWBsiB9AAhMMpKxJ3o1jNJnHdJ16l+fgXSu9MNkqrP7l3OAlMzMEC9BN8TeNxv4TsvB3gzzqGNRT8O0I78O3tRISKid1epDWAtktCHNbjVaSuh7zJJpTZ4snI3M0k3LSs0tLV3Orihuy/gZ5eWhAHqJYWBh6frHQCAB4FBXmKcK4R+eMtbRkREdDH1zEcShLee+bjrmaSblJca33hxgFB66MU+NrsxhMC17L+7nEu+7iVcqufX5i7vpavjZ5eWgQHqJQXSQxx62EsL7AwK7KUFAuHhjz3uoRNztxIR0d1Rz3xs9RIOLu+QQrnst+8JFNrgO68GWG0F8ASb1FQKZfCjnRE8cT3Newpl8OnuGAJAqS06sY/o2POzUpxocbxqXVLoe3i80sIXNjv4YCNGYQw+2R/h07fjW28wQUREdFGB9NAKOVXlrqlnvye5RqE1LMAmNTWlNjhIS+T6epr3lNpgb1xAWwsLy/1OdEX8FrqCduSjn4R4Oyzx5qDA7qiAsfxCICIioptRzdnd6EZ4f62FQEqMcw0B3HqpdlNUQfwkV9eyX6rnP5iUEBBHnl+8q21Yia6AtahXEPoenqwk6LcCeFJglCrsTnI8te3b3jQiIiK6grsUVgTSQyg9tCMfW/0Y0hNYb0d3Kht+nXNEr7vxVv3519sR0lIv9fmJ3jV358rVUKEvsdmJEUoPo6zE3qjAi/0Jy3yJiIjoxl1nqfZ1zaOs5nC+OkjxfO/kGMouoT3TdZews0SeaHn4KbqiduTj8UqClSjAk/U2ukmAUnP+AREREdEiqjmchbacO0tEDFCvKvQ9fOFBFz++1UMnkhikJQDLeR9ERER075TaYFKopVaKVXM4R1nJubNExDmoy9CJfXzhQRcHaTFbe4yIiIjoPimUwcuDzNX6WixtuZbrniNKRHcLrwBLIgTQCgME0sek0Bjn6rY3iYiI6MK4XCOdptRuzdUk9JdeivuuzuHk+qhEJzGDuiTWAtvDFM/3UkSBROC5bnrv2oWWiIgu7zo7mRJdVX3N1XYoWTE2ZRllEi0VA9QlEQJ40EswKTR86WFSKuxPCqy0Qg4yiIjoXIUy+Gx3jHGh0Ykk3ltt8/tjCRj0Lw9LcYnoJjBAXZJAeogDD8NcYZJrvBmkACzGeby0ORpERHR/ldpglGlIKZBPgyp+d1xNoQx+uDPCONdYbQV35vu4qUG1nTaBvK3tEndpcVoiurTmXPXuuND38HilhS9strHaDqCsxcuDDIU2bJdORETnCqQHIYC0UBAQLJ9cglIbDNMSoe/BmLuxBFyhDP7w2T6+83Iwd01QIqL7jt9+S9SOfKy2IngAAimRlgpac8kZIiI6n7vRmWCjG+HxStKozNldFUgP8NycSdyRLvulNrDWIgok1wS9RoUyGOfLXS7ntmTT5pz34b3cF9cxLfldmunc/Cv1HRL6Hp6stGAsEPoC2gBbfQ4yiIhoMe9qJ9PrUs2Z3OhGd2bOZL0REdcEvR6FMvjk7Qiv9tNGZqkv0nRpkit848UBfrQzbuR7IboMXvWWTQBRKNEOJQCgNLxQEBHR3XHfOpLetaD/SFB9R+bM3jWlNtiflMiUufNZ6kxpwFr4Utz590JU4VXvGnRDiay0OJiU+O6rAd4cZLyjRURERAu5a0H1Rd12eW2VpZ7cgyz17L3k+tbfy/26tUW3iV18l6wd+XjQSzDKNIaewh99eoDtUY6fetzH043Ovf2yISKiZmtqZ1h6t1SdlQPpQQC3kiW+T8vlVO9FANjsxnf6vVwWr233DwPUJQt9D1940MU4V/j0YIJJoZHtaKwmwfTCEd72JhIR0QJuY9BjrykHUSiD778eIis11tpho0tH71uJMR01yksM0hLrnWhWknob5+JtLpdTt4yzPZAewga8l9tQKIMfvBnB9wBfeo2+ttHieASvQSf28cUHXWy2QxykBb73eoTf+v4OvvNygFGmbnvziIjoHIUy+OaLA3zy9n40Him1waRQ7AxLt04KV5I6TO9+eS05t7k+bakNRnmJQlte2+4RXhWuyUo7xOc3u9jquCYH2mp8tHOAH7wZ3vmBDhHRfVdqA6UNjMW9GPSwMyw1RVWS+qDXvCZQeXm55VqY9L8992k+MR3iUbwmoe/hJx728OFmG7kq8WZQ4vVBgdeDDOOcWVQioia7bwEdO8PScZdpVLSsQCyQHlpRs5pAFcrgD58f4KM3o6VXTZT69tdcve3GVNeF17b7iXNQr9FqJ8Sf/sIDCAF8/HaC0PeQl/q2N4uIiE5Rn3d6X5qoVBadc8dk0P1XKIOP3gxRKote4nNgD6CYLtciPbHUubGlNnh5kKEdSgzS8lb2daEMnu9NoI17f09WWzf6+tetKfOJaXl4JK/ZSjvE5x/0EPkShbJIS4XJPbyDRUTvpvt0V36SK3z92T6e7U3wfG8CAPd6qY93BiPuE6qMnuTamTPXVTVRagNYi3bo39q+dvM0FTJloI3l8b6E+/Rddxcwg3rNQt/D45UWvvSoi9fDHDujHP/fH+zgg402/thWH52Yh4CI7qbqrnyVcbzrWZhRrtyC97UMyl0v7aX77zLxdz0Ya4cS1gLjXL3TWajrWnqm2tfjQiEJ5I1dU+rVIIH0oIyF0hqhDBBIj0HqBRTK4Ec7IwiwU/BNYXR0A9qRj7VOjB/tTbA3du3Vt8c5LICfeX+VJzkR3UnVXXkhBATMrS0XsSyHzTY0OpHP4JTurXowttmJ8XqQIi0N2qG8s4PvZSwLtYxS0UK5jtme8GfPudWPEfsSvSS4kX1bKINPd8cQFvCmJb2PVxJMCoXNjlsrdVJc+2bcG6U2OEhLJKEPKW9vaaR3CQPUGxD6Hp6sJPj9TyzGhcLeuIAxFm+mDZO4NioR3UWB9KblYhpBEtz5gC6YDtpD6WGlFWKPIzi6YVWQdRPZ+yoYEwIYZgoWwEFqsNK6e+OSplRzlNrgs90JrLUYpCX6iduPgfTQvsGmUKU22BsXaIU+klDO9gunLFzO8YqDu/5ddxcwQL0hUSDxwWoLe+MSaaFgBeB7PMGJ6O5yUxgSjAuFjU505wc+1tobH0gSVQpl8IM3I4zyEhACW/34Rl63Kvd8sZ8i9CVaobxzn4FSG2RKQxtAW71Qhqu6EVCo5WXDSm1grUUS+lDT578N9aVXWtOAKufcyUu7rvJvOh0D1BsSSA8Pegm++EAjCSVC30M7YQkZEd1t9+muPHvpOFzT8XaU2pWGJqGPtFA3FtyEvofNboS0VOjFIfxpwHrWZ7pqstSUOauB9GAMkBYKrfDk2MoeO6kL5TrrwlpYa/HeahuBFEvZjirTFvredDtufvWGuQFVfuObca+wU/DNYoB6Q0Lfw9ONDjwh8LCX4DtvBsgKjY/eDPB4pcW79kREDSHEyQEt0VmWNf8RwgVZEOJGb2C3Ix9JGKDU5twOttWyKW8GOVZbQSPmrFbVHPtpgZUkXCh7immm09qqIZq88nbUl6fqLDimu65rzbsSUF11/y3js0vLxwD1BnViH1982MXzvTH+42cKP9ge4bc/SvG4H+P9tQ4+3Gzj6UaHHxAiulfuygCgGucIXD2T8i7IS41CGUSBvNbjmhUaelp+3cTzp1AG33k5gDL2SgFbFWRlpZ4FFzflIuv+VsFdGMilrhd6VYHvqjmCBbalnulsheFS93V17K7ynNa6G2V0vaqyeunhXnSiv08YoN6w0PcQ+hLS8/DxmyE+3h5je5jDCoEHvbgxF3oiomWouknmpUGr6R1CqwCVA8NzFcrgG88PYK3FRie6tuOaFhp/9OIArUBe+fy5rpx4qQ1ypZGEPgptsD8psNI6P4s3TyA9eLdwAgqIhTNu96FhTL0E9nE/Qeh7V8rEsd7ibnKd6F13Xp/deRuFR+EW9JMQa60AHgRasUSpFH64PUKm9J280BPR/bCshcjrz1Nqg4NJCQs0foF4y2HmwurNYKos2rLU44Ss1G5tWimW/jrLUgVsg7TAs70JXh1keL43ufLn6EZdICausq0b3eu7MXETbnr+PK8vzVO/2XJeaTvdLGZQb0En9vFnv/gAWakhXloUCujEAUa5wjhTCDt3q707Ed19hTL44c4IFhaRvHymqlAGH2+PMM4V1tohNrsx7HReXRy4Urqml2xe1V0pab6Km8qiVa8zzjVWWzdb9rqoKhs3SEsgLeB5olGlr9fhXZnfSMvR1GviXe7Oe9/7JDBAvSUP+jH+4k89wdZKC5/tj/H6IMcP34yRFQp/9osPsMoglYhuUKkNBtOFyMMrlDqV2mCYlbPMmhDAVj9GoQy2egkKZfDtVwN0IonYb1bJb6GmXVQDieiS25SXGt99NUQrlJCeaNT7W6abGthVrwMAD7pxY/dlID30kgDjQs8N2ps6QK+wrN25jqVn3nXVzc9cGXQjv3HXRN5saSYGqLdotRPi55+uI/jUw2iikCqN53sZ/sPH2/hws4O1VoSV9uXmsRARXcSyMmJHm48cNgvxPTcAGI2Lacmm16gsU6EMnu+nUNogLw0+3Ghf6nlGuUKuNOLQgwfRmPd3EYuWIt7UwO6uDCBPazTk5uvuIwkkkqBZN2XoUH3pGVjwOC1J/eZnk675d5HLmr4bd5MYoN6yTuzjJx/38cO3Q3z31QCT3OCbL/YRBxJf2GjjT39hE1982IUQuBNf0ER0s6r5ngCutFTVsjJioe/hcT9GUWs+Uo93ZgvI5xq9uDlrQbs5lZgOouyl5w/W318/uXhJ6mlVW3mppwO76+2YS1czL5gutYExFsbFPY0coN/kkLepczELVVt6Bs08TnfRXW+qVVU/VBUQi2rmWX53MEBtgHbs4/21Nj57m2J/nGIvzRFKAWMtwkji5cEED3sJOrHPZWiIaKZQBt9/M8DzvRTW4MpLVZ2VqbpIiWIgPfinLLNQBcLSE1hvRwh979bKH+uvG0gPYjpXthsHbttLfeHnrN6fJ4CNznJKUgtl8M0XB9Dmejvm0nxXHWjehQG6uEc1vpedm3cXjtNddJfneaaFxjdfHmAlDrCXlrPpBnT9GKA2QKkNtvoJfvq9PjJlkGuNTBmMshIfvRzg050xvvigh62VGJvdGKHP+alE5K4db0cFrBWAsCi1vZa7/oUy+O6rAaQnLlWieHy4GEgP8XTtzEIZfPRmiEh68G5wzmahDD7bHWOQKvQSd5Nwqx8jLfUscL6sQHqI/OUF26U20OZuZXaaPufyJl1kgH5fwsS7ePyvK5ASAu98Ou1wbdi7dYYPsxLWWHieAGyzu9DfNwxQGyCQHkLp4elmB9ZaDPM2nu1mKLRBIIG0tNgdZWgFEpNCIfTvxnwcopt00QFRE7J2V33dKlOZlQUAgUCKa7nrX2qDrNQXDpCOj8nmjdHGuXIlypEPq9zPN3ETrtQGk0Ij8D1k5eExEUI04tpaT2jdtcxOoQye702gtIEvvaXddLiLQU/lOufRLqOb5zLDhurmjzIW4RnHf9lJ28s+nbWH23Ib852r5mzVa1NzzKZsFBoQ1/P9SvMxQG2A0HcX8FIbPF3voNQGb4Ypfut72/h4e4ztQYb9iYQQAv/hY+ALGx30WwHLvIimqqVNCr1Yl8AqaycEbrSTbKEMfvR2BN/zIHD1Jhyh7+GDtRY2pl2/n65fzxSAeQFSfV7OCRfIGPhSoDQWH70eIg59BFJcaS7togLpjoF7T24ubHaJkt7TiCUO+a+7RK5QBpNcQRm7lAFYqQ1GuYIQAkIsJ6tfaoNP3o5grTt2/P5bvkU62C4SC5fa4CCtbqbfjYz/bSmUwSdvJxjlJSAEtvoxg6ALus7VVoLptTeU3jRpxGNzUxigNkR4rBysUBpJ5ONhP56WwgmMC4WPt0fIVYkPN3poRz4e9FgPT3R8aZPzBkSldo2FbrpkclIoHExKrHeipb1uID30ExegXva5zmsCcTxAykuNb78aoBv5yJXBRjeaO0hYpONg6HvY6IRQWqMXh/Cld2S/XFfWLPQ9PF5JcJCVWEma3y19mZkda+1szmHVYdYYOxsgX1UgPShjobRGKIMrDeqqhjqlNtifuM+4fwNBT9V8TJl3ozaz1MvrYBtID8baI528aT53M8ed12mhLtyI566pZ6vvikB6aEU+7LQZId0MBqgNFfoSa60AviegtcWbYYZSWXgSeLk7wbPdDM/ejvDnfuIRHkwHFHe5/InoKi5aAnnZksmrfsY8IQAhMEhL9JOrDdyXpVqjDgAGmTo1QKmXn/3HZ/vYG+aYtAJ0Iv/K83JaoY8kDFBqAzF9rWrbPnozxDhXWGuHeH+tvdTANfA9tEIfwbHH3/P1z4+oOszWB8hXff/VDY201Etbu/Qmy5yr865QBnuZRXnJjs637SKfkXoHW2OvlvWujv+RTt4NUWrX3yP05VKfdxmNmVhCSnSIAWpDtSMfX9jsYlJoPO4nGKUFPn47wX5a4tnbMXbHOV7t55iUGn/xp56gFfmu0Yjvmo+w/IneJRctgTzr708b1KWFxh+9OEB/ujTKZT5j19Hh9arqa9Qt0gSiUBq+AJJIIi0N4uD0stBFh2ynrR9ZaoO0cHNftTkcNFdz3CaFRucKC7+f1bn0XYlRr2uAvOz5vKedIxex6BqC9QoLY3EnG6OU2uDlfgoLu9A0hqPrF4dXPg+q+fFNuMYB7qZTlSV+uZ+i3wrczakbDAitPfn9Uv8uus9zUKtZH+/KdZWujgFqQ4W+h6cbndnd7E/ejvBqlGN/UsLCIi8NRoXGt14MMSk+xWYnwiDXWG0FeG+1hXbkox35zKbSO+OiXQLnlUwWyuA7LwfQxmLl2DzvUV4C1nXzq5fnXiRLMVvP+JY+l9W21ssWFwlQ6tmBQHoIfIkOAN/z8N5aAukdfYyAuPBah/OOX33pl7B1mHF2ZXEa0hMY5iX2JwVWWsst0603Lql+vo8VKndlgFxl1m+iE2j9M2GnN23Ompd5nqs2MbrMuXfRaQ/186BpWc9lKfVhlri64XWT53uhDD59O0EoxZGO5U3+3F3Uu1R9QteLAWqD1eelPl5p4Se3NNrhCIEP7I4KZKXGIC3x2x/vAMYgCX1EgY/PrbXwsBvjUT9CIN2d062VFjoxDzfdT/Vg4ipzXEptkKv53WpDKQEhMM41etMsatWcKS8NesnlM3k3oVAGn+6OISywk9rZgHuRAKU+6KhnsnpxAOkJ5KeUQC6jVPTxSnKiVLRqcDRICwzSEpNCYa0VXXmd6Gpzs1Ljo+3RbMLUShLi2d5k4WzUWRYNNm5yoHcdA+Tr3PzrnsdWfSYmhYIF8Pogg9L2Vj7f1ee21OZC595lSqJvo4PtTarvk9laxzeoUBqjvEQvCRBAnHnTgHEevesYsdwR7chHJ/Kx3omw2Y5Qao1//9E23o5yCAEYSGTKoFQlXg8z/HBnBF94KLTFo16CH3/Uws893UC/5ZqpBNI7s1Pmfc0W0OUVyqBQGqEvFz4nlLEY5+pazyPXBXGE/YnrgrjejpCEl5tfdNagrhq0Sk/M1sncGxd4M0zRi8MTAW3TPkOlNtgbF2hHwZFS3ur/W+HiXwezTJbvueY612heqWgVuD7ft3g5yCAm7sbBZdeJPp7hmhRqlmlJC4VJoS6UjTpNoQy+/3oIzzu7e3RVYuo1ZMmbq7hMHHnaGVU18spKH63oeocv1TnuCYE49GHM9awxfJ5SG+yPC8QXPPeWURJ939T3yXo7QrrErt2L8KffL8NUYb1zdhl1oQyMtY35/riyaY3vomX2N63UBsO0RBQsPr6h68UA9Y4IfQ8frLcBAFK6xkn/8y/5+PbrAb77YohBlqOfxBjnJSaZQloaGBjEnoc3wxQvBxP83g8PsNELEfgCTzc6+NKjHja78YlgtVAGP3gzgvSOtvNf1oC7aQP3q7oL7+f4NhbKYJyV0BboJcG52z1MS3zvzRC5cpmsD2rNas56zddjtx7idS4LUe/umRbKdcC+ZIB63lzWQHrTrtpuHz7bm2BvXGJvrPClre6RctAf7owwyhRW2wHeWz1/f123KvgeT5czsBb4xvN9eBBQ1s5d3qA6b7wLpquqhemPl/kuY73GSiA9JKGELwQuO+A57VHHy55bob+UBj1u7dWzu0fXu6ludCJsdmMIgTvf3fOq18n6fimVuXK2fBEuQHUl5nFw9XmZl90Ge8lz775nRC+jvk+WGaAuspZptWSJNhZbZ5RRuyWVXNb8KnPsaTHH5yZf13JtdDELBahCiL8A4P8EQAL476y1/8djv//fAPjfTX8cAfivrLVfn/7uRwCGADQAZa39ueVs+runE/v44sPubF5qEkqsdSP8xGYXudYIPIk/+GwfO5MMQa6R5QqldXO1BARSpfDZ7giP19tIc4P9SYFIeujHIb7wsIPHK27u6t44x2d7E3RjiV4cYpwrAD6+93qAUhloY/HBWhsr7YvP+SqUwY+mHUNvay27UeYyIq3Qv3TZc1poGGthLfBmmEJre2RB+iYFrYUy+MPn+9DaIvY9bHQivBykeHWQQRvgS1vd2WBv3nYXysy6tsaRj26kT72LX398qQ2GhUWh7bUuC2GtK8ksjUEgpbtLfcZ2Hd+G4787bVA3i9GmMZbL5Gh8sN7GMCun2bvDOZLDtJxmXo7OV50UCuIC2cpF38d56sH3QSJc5YWxiEKJdFoq26t1Fq7WbLUW8ASQ3HBDkePzZefFtq3Qx2YvhtIG6+0Q7SVl1eqZlkB66MT+UrJR9cA3lAKFMgjk0c9FfZ5crjT+46e72OhGGOV6KUvA3IZCGfzR831YC6y1w0td9+v75aaWhgqkh9VYYKMb4VHvduZlXrQB3DIss4R60eda5s2rmzbJFb75cjB7s6etZVqt4RsHZ1dGXHT+MF1eNcf8+Nxk7u/bd+63uRBCAvgnAP5TAM8A/K4Q4l9ba79V+7MfAvhz1to9IcRfBPDPAPwntd//orV2Z4nb/c6qz0sN/RZKbfDjD3sAgP1JgdVOhFcHY3z0egwp3RyHnVGKVwc5JqVBYSzGeYFxmuOTtyOsdiLEvsSz/Ql+/FEHkZT40e4YB5lbr/HHHnYBC6x3QnzzxQH2R64hyY8/6uLzmx2XSQsO7xieyNJN142qmp2MM4VXA1cS2UtOrndY/X2V0Z33b4uaN5gfZQq/84MdGAu0Ag8/+7m1hYLU+nMZY/FHLw4Q+27701KhHQboRGJWLvnp7hjKGERSYrMbz/5dCgHPw4XKZBd5X2cptUFRauxPCrweFmj7HhQs+nGIOBAo9WG55/O9CTKlj5QfHunamisoMz+TU82VykuDQAqstMLZWnjH7/zPy+heJvAqlMH3Xg8gPQFlgK3+ySxHdVNE25PzB0vtgvfE9yAgZlUKi6iCDaXd/O9WLWtbD0SqzEuhDH64PUauNPZliVboHzZNOidoru9fTwgIXG6dwir49j0x28ZBWmB7VAACGBcuCCqUu4G1M8rRi0OE8vDcHuWHa/VVZd/Gzg8gbS2YL7VBN/LP7JxbPcZlEEbIlTs3N7vRqe/ngzV3Hdxcclfk45mQZWSj6nMbi9JVqqx1XIa9/jrVuRP5HqScZogX6LC8qJtYi7B+PpTa3di8yoC7vl+CG1yiyfdcBv02B6xNyoRetPnZXXLZdzY+NiXgqtUOl5k/3HRV47wmnj23PTeZ5lvkdvMvAPjIWvsxAAghfh3Afw5gFqBaa3+79vf/AcB7y9xImq8erALASstlO4VoQ3oSG50Yn+2O8XNP1/C1T/axMy6QZiU0LPYnBYSw2B5mGGUlPt0N8P1XY1ihEfkSWystHExy7A1DfEPv4VEvxsvdFJnS2J2U+NHuGGo6uP/CRhetyIO2gIDFJNMIA4HdcYFRodHyfQS+QC8J8Hx3goNMIQpS/PGtHjqRP80iePhsb4yP34yQhBLvrbaw2YnxvTcDvNjPIKzFw36MrX6CjWmm6qyAZpQpfPPFPgaZwkY7xNONDtqRj0mhkOYK7djHQV7iIC3ODVBdKecYuTKQ0zlhpdYIpYcfbrvAR4ocW/0YvThA4HvYH5eIQwkBg++/HuCz3Ql8z0OmNR72IqwmET5Ybx95HwDmBiXHA7lqzcpwwQx0ID0oC4xSBSkEotCDKhTGRYnI92fBigu2XbCRlodZUt877Noahz4+d0p5r1uuREEI4Pl+hniQQgDoH+uGWwWM0hPwhMBmN8bz/QmUtmiFF2tAUygNbSx6SejKMWvHrJ7JPUjn342ugvfdUQ5r3Yi911rsC+p4c6HjcyQfTX9XZV7GuZo1YBrnCp/sjOBJcSJorpZQgcWRTo9pofBmkKGfhPDl2Q02FlFt/9tRjrTUaAX+rAT1090xilJje1gAADY6LkB8eZBhZ5ijNBYbnRA7o2IW7XSjYG5pdaEOSzOVNnjQTc7dtlIbHEwU4lBC68Muqkf29TTAWsbg/SYHTdX2DtOj76/+++q8Wk1CfH97hHF2t9dIXMaAu75fNjrRjQdrNzVrTlT18XNYa8+9wUM332Do+JSAq35O7/L84ULpI93P74Ljc5Pv0v6+zxYJUJ8A+Kz28zMczY4e9zcA/D9qP1sA/08hhAXwf7bW/rMLbyUtJPRdwLLSUmiFEhaunGqjG+N/9uMbyEo3yPtkd4S9cYnnuxMMJwWiVoTQF3g9GsP3BYrCYnecY1JoFLnBoFTY7MbQ2mK17QKBV/sp9sYFCmXwfG8Ma4FeEmJnmOPNMMUwVwiExHonxHonRCuQiCMfz/ZS+NO5rYNJgV4SohcH2OhGUNrClxLGChykJT7bHePrz/YxKSys0fjDF8DDboKtfoTHq20IACutAO8fC5gGkxK/84M3+P1P9+F7Howx+J9+YR2dKEQ3kdhNC3y6P0YvCrA/LtEKChRaox0FJ4LVKpN0MFGAAD59O8ZGN8TOqESeaPhSYqsb4kdvx/hoe4i34wKP+hGGucKkFJCeh6xUs//fz0q3jZnCIHVBbDuUKLTB62GGfhzOSuCstfjuqyHiaYb6yWprGgSW8KUHJd2NhuPLCVVZ52ow3458vL+aQCuN3bQE4OH91TbWpk0aPqjNjzTGumClVs7pS3EkEGufEtAH0oOFxShTyAqD1VaI0hyem5Ws1DhIS6y0Qwi4hjSDUwLI8xwfGADA3iTH/rhEaSzaoctgnzY4roL3NNeII39WdVBlB+cFn/V7wGfNN5r9/TSVVN9WbV3pcyAEMqVPBM274wKt0EcSytnvtLHYHhXYHuRYbQd4stJaaB+dZ1xojDKFUabxoOcC0b1xgST0sdkJsZKE2GzHeDlIUWqNJAhRaoW00CeyBpX6ELpePoUF15QMpAfhubl/nuee7ZO3YyShnGWPl+G2xvruXHDvL5pzQ6Q6r6rSYm0spHd3A9Rllak2KZNIi2vSlJfKMiuKj9+sPPVzeoHXvIvnujIWP3o7md20rHder1xHJfcynvIu7u/7TpxX9y+E+F8B+PPW2l+Z/vxLAH7BWvt35vztLwL4bwH8WWvt2+m/PbbWvhBCPADw/wLwd6y1vznnsX8LwN8CgIcPH/6pX//1X7/aO7tGo9EInU7ntjfjTMpYuJUfXMe06jOXKYu3qcFu6tZRnWiDVyNgkAPDEmj5gNJALwQ8CUxKYFLAPV4A3RBoB0BpgGHhfg8AwgJy+tjqVX3v8GKUTBMrUrr5bMq4v4kl0AmB9dg1bYEHhJ4HKSwGyuDNANAWGBRAJwJWIiCUAv3AwwcrPjwB9EKB2BdQ2QQyTvDtbYXXE4WdDOgEAsPSou8Dvg8c5MBqAigt8MUVCV8AL8YGVgBt38Of2PTRmWaBRoXGd3Y1PGFRagEfFmMNPGx5UAYIPYuxcm92LzdIlYU2gLEG3VAg127NzFILaGOgjduHwTQLuxILZAp41Pawm1kUxqITeHjY9rCReMiUwY8ONJLAQ9sHNloSvgd8f1dhJzUQsDAAnnRckLuRuNH2pwcKrycGk9JiNfbwsC1RJbZyZQEBSOFKbqQHrCferAnOsDA4yAwSX6Afe7NzJlUW/jRQ6ISuxFQZd4yrfweA3dRgUhrsZwaDEsizAhvdEB+u+Ih9Ad8TyJTBpwMDIQS6ocBKBHw6MDAWWIk9bCTiyHOepdSuEVP1noaFCzr2cou1SCCUAg9aHoaF2/8bLW/23HuZmb4/g52JhRRAL/YAuP/WBpgooB0IPGx7MBYYlxYCmL4XYFgcXj/7kZjtR2UsPt532eheKPCg7V53e6KhDSA9YFS649HyBR53D7er/tiV2MNKBAACqTJ4OTTwPQFPWGy0JDqhwF5mZs+5kXhnZliq9xyoCTqdDl6NNPZzC98DJqXFWiwQ+QJ7mYWZzj3thoC2AgeZwbC06AUCvhTohm5/V3/3pOuhHXhQxmIvc0uy9yPXZKa+L/qxQKHd57gdCJTGYjRnP+6kGmr6d4W22M8tVmIBTPeLtkChDx/XCQWsdZ/BQC52DuXKYqIsIinQCgQGuYW2FoHntquyGnuzfbcanz2AKbTFuLSz91ddi6vPSvU8drr9q7FA5Huz75VRYWev3QsFBoWFJwTM9GJ63uufpXrt+rla//dKO3CfnUWfb9427eeuV0IvFJC1973I9htrcZC799sJBUbF0WOy6PbNtiUzsDjclkVU2zseT9But07ss9P+vlJ/n9Za7KQnr0HzDAt7ZJ3i+rl32jZoYzEo3LUpCQQm0/Ov+nycts/rx6S6zp/1OsDhZ2be+6yr9nk7AF6P3fUk8gU2EjG9th5+7qp9tJ+fvr3V9kVSwOTjuWOw45/nuvo5BQCt6X6qv9/631zkc3Z8n1QCT6ATHl5XqmMihUAvOv3zV7cSiXOz5tU1tHq9489bvZfq3OqG7vpYXWsu+nmaJ1cWz3bHKGWM2BfIlMXTvkTsu+c9yC2MPXztZbrscQOOnnfAyWtLqiwyZWfvaZHXOO/zelHj0s4+y/Vr2CLvu+nxyi/+4i/+/mm9iRbJoD4D8H7t5/cAvDj+R0KInwbw3wH4i1VwCgDW2hfT/38jhPgf4EqGTwSo08zqPwOAn/u5n7Nf+cpXFti02/HVr34VTd6+89TndZbK4KPtAfLC4BvPD6Csa23eiyIorfHqIMPOKEOmLB70Ymz1QjzqJ3ixm+LtJMcg1xjkOZQSMFaj1Bb9JMTOKEM79GEhsNkOsdKOsDPK0Il8vBrk6Ekg8n0AFkpbyGmjk3YssZKEyEuNridQvpnADwB/mLtAFRZP17uIIw/JRgvaCuQArJTY+eQ7+PyHX0LkDdCfKKhRjvVOiHau4HsCuTbolBpfeNRHCfclsTsuMNY5eq0Qwvex8YVN/E8+t4ZxpvB/+8Yz5GWKOJB42o/RiiQmpXGZ5FaAznQNyFGuMBjn+N72GJNc4/n+BJsbHYzHJT7cSOBLH5OiRDcKsNYOsTcpID0PH6wm2JkUSAIP/dKgF/kolcWPPezig/U2vvtqgJ1PdwEIPN5s4xc+3AAAxJ/u4vtvRsiVWzZk43EXf2yrj/dWW8hLjd1vvYJOFYZ5gQ/W2/jiZheh76GXBABcxvLtqHBfEkLgJ7d6syUbdkc5frAzhgegG/tQ2kJ4mDVoCaSHVijxZpAhLTW86bzNKvO8M8rdYCkt8PIgxbe/8Yd49Pkv4f31NnqJK/UVAng9yGCtxcOeK/f80VtXtvy43zp1XuZxeanx3ddDrJQaEAL9xMfOMEcn9vHD7TFW2wEedBN8frODvYkrVd3sRLOM3OtBNnuuqrRVKYtxoTDMFfYmBTZDH54Q+FNP15CEEjuj/EiH1cA/vFtef+5xrtB/cYAk9BFKV6bbCiXeDPPa51BjkJVYbYXYODZ/8tneZDav8tUghTIGpbJ4lCtY6zKpn99oI/I9tMeHx/Knn/QRBad3MK7e87e/9h/wla98Bc/2Jnh5kKFUGsoC768maIX+bM5oVSKdlS6wHqQFVlrhrJlS/e/W2iF8z8Mnb0foT5f8+fEHXfRbwez9POzGEEJgkJWIA4l+Erg5udWdrtp+fDPMYC0gPYGs1Hh5kCH0vNl6s2mpkdW6cLZCie+8GkJM58wvUirulo9RSEKJXhxge5jDWIvI946s7fqwF8/23cPe2Y2KqgqB2JdIQnliDcvqXJSegDYW6+0QvvRm3yt74wLFNMu83g7xdlwcCVDPe33g9IxV9R7q52r93yv9JEB8xnl0/HHztqk6fmttV6lx/G/PyqppY7Ezcp+VlVaA/UmJUHqz/XLe9h1/7jeDDBaY7etFVNv727/92/gzf+bPnNhnp/19pb5P8lLjD58fzK4bZ52bu+PiSJVB/dw7bRuUNng7LiAAdOPAfb58iWx6x/i0c6Z+TMa5wmg6LjjrvVafmXnvs67a561A4juvBrN5+g97rit1/XMHuEChuj7Oe85q+5JQ4mv/4f8zdwx2/PNcZ4zF9ujw+tub7ifATWGoPo/VebfI5+y0fVKJfA8rrXD2vVgdE+mJ2bQJ4OS5U/egG50boFbX0FB6WG0fLrN1/DNXnVurLdfgcn9SIFdm4c/7WSaFwv/9f/x/4+kf/9lZBvVn3luZnefVPqhee5kue9yAo+cdcPLaMsoVxrlCO/Jn4+bzXqPa79V5dVUHaTn7rqtfw+rn9GnbdJfjlUUC1N8F8GNCiA8BPAfwVwD8r+t/IIT4AMC/AvBL1trv1f69DcCz1g6n//2fAfg/LGvj6XLc3FV3ESuUwVbRggWw2gmRlQaRL+EJ90F9cZDih29H+HRnjI12gnYs8eFmF7mx6LZD5Frj9b6Pg0mJVtxC25dY60cIBfCgF+Hj7RSFVhikBt3Yx08+6WFrVCKUEp+8naAsFJSnYYzB7iiHlDHeqAy5skgCgU4i0Yp8bLRjBL6H77/exyDN8erA4PluCukJ+J4rnTzYLvEcryEDH2lmsNaJ8Hg1Ql5avBqkGAwL+J7Em2GGIPAAKzApNEa5hi9LhJ6HSVHixd4Y33w5wKv91M2P9T1MSjVrkPRqkGI/LdCNAnzhYQdpoeFNr7dpqaC0wfYghzIGWWmRjjO0Y5c6HpUK0hOQEngzyjHJS4QihoRwQZ5wywkJ4S66j/otlEojDnzsjDJ8/bN97Gc5nu1n2OgEiAKJcVlilCrYFZd9k54H6QkUpcWkUHh1kEIIuPX8Alf6vTcu8bn1FiaFwvYoQ5K7S8H+JEepNXpxiLw02EtzxIGP/UmBVuhhozNtoJOW0zV4BSaFwtZKgn4SQk3nsQbSQxIGyDXgZia7jLmbI+32VbXu5g/ejDDKXUluWmi0Ajm3I3LV2KUadA4zhbzUR0pMt0cF9sYlBCw2OjGerCazeb6lNsjV/HmSVXnPwSRHEvoYZiX0NOVdL+mtl6uaadOaec2f3FJv026tx0o4q5b2Smm8GRXY7JbIS3Nk0FptjxCYrYHoS4H1TgjlJntPA0SLUmt043i2D84KUOe9741OiGe7E/hSYGdUYKvvnShTywqDtCgR+PJIp9/jf+cCfXOi7LdePlXqk5mGunm/reYISSGwPp1/eHyJiOrYXHS9yMtapGyx1GY2H93C3ZS4jIu0FnHTLiazbWviEhWFMvjOywFKbS7d1fes5/5sdwxt7Oz937ZldSA+7SxYRomjPeW/r6pa+7M+xUKZ5TT7uqvu6yxi3xOn9mWoNLNN0lH1Nd/p9pwboFprlRDibwP4d3DLzPz31tpvCiH+y+nv/ymA/xrAOoD/dnqnp1pO5iGA/2H6bz6Af2mt/bfX8k7oUqp5q6U2eG/6RV6/uDxebeFLW323cD2AVuADwt2xK7VBLw7QCiW++3qI0JPwhMWXHvdRaFfe04lDeBb46O0YndAtW/Ow20In8acLVQt8780Q++NyutabhlIGSSzhwcfPPe25EozM1dK+V3SgjIGxBUbThkcAkGuDyQAYyBHasY9+EuAL3Rak58FCYaufzNbOgwBWEh+fvc0xMAUkgNiXCH2Br326h28+H2A8HVy7xkLAQAi8OMiQFW5Q2o48vBq4plG9JEDiS0Seh5Yv8f5aB6O8QBIFiHyJlVaA1XaI7YMcpfXQijxEUuLjnbEL2KQr0e0nLjNVKo1cGRi4jss7wxLDssRHrwcYZAVWOzG6sUToSfT6HoT14HkCP3o7hPQEuolEEgps9SOstiN8sjtGXhgMMoVeIvHhRhvKGuyOM+xNFD7bm+BgUkJ6AitxADEtb4l9iVFW4lsvB/DgYZQrtD7wsd6OMM4V9iY5ulGAP3w+xsu9DO3YNVOKAwkIgY1OiLVY4EEvcsuFaIPXBxnGhYKBy9aV2mA/zeFLN0dXaY1AJpDycK7ix9sj5Epjd5zj8Upr1hxqXmOKzW44y+wl4eF6pVWWcJCW+MJmF+1ofpA667wb+tjqe7AA+nGAduTPBrxV51tjfHSTw7v0uXJr1xlrkQQSGx13E6jqLmumZXvVYNWXEpg+pzmltX0ga2sgRtW8YAMBgXGu0I19BFLO9oHvnQyWF8lGx4E8tQNlIF3Dp/30ZOA6bx+K6dxKCFcKXHd8aHJ8vvRZAukh8k9/L6c14jlrPwhU5YVnvvQJVUasFcgzG3u544dj23R2kHrV4Vu92Zm2iy0JddPczSK99GU0qp4Bb8c5WmEwW95qGa5yXKqbqJdtEnV626Tmmzf/WBXvZoDatODsOuaDLtKXocmK6fd4VmpsdCKstMLzH0TXYqFF46y1/wbAvzn2b/+09t+/AuBX5jzuYwA/c8VtpGt2vBvw8f8O/fBI2cg4V3jQi9GJfOTK4GEvxgfrnSNri1aDnycrLku30UvQb/kYpAqb3QiB9NCLAnz31QD9KETXD/DFBx14QuDjnREe9Vzw8mglwXo7QjtyZYcv9lJ849k+BqlGO7Dohj6sNtjPFbwQeLLSRiiBp5ttPFpJMC5KrLdaMNqgKDS6cQAhLDqhj9W2gTYaG70IG50QB2ONV4MxxqnFfp7hJx+vYKMbwcJgZ5yh0C6flpUWxhr0kwhZ6eaIeh7wpUddvJ7kCD0PO8MMj1dbKIwLJnqJ21eb7RDPDlJkpUE3DuBKnDUEJHwp8PIgw3deDjDJNVqh59a7jSQmues2m5YaMi3wsBvjjz/uu+NRKAjP4nd/tAfPAw7GCl980EUndlk3bdw85Chw3YVfBCl8T6KfRFDGYn/syrphLfxAoBv5CKWH/bRw8+e0xY89bCHLNdJCo4wN8kJBG5fdK5RBFHrYGZXoxBar7WjWUbcdenh/ugzIShLi2d4EUSAxSAvsjDKkhcLLgwwSAspaPOhGmOQlkiCCtW7ppN1JjsCTGEwUNjqHZadR4LJ/aaGRTAd9gXTt/gN5OAgstUGpNEa5wuuDHJNM4fMPOiirgHOq3smv/tiVJJx20dVHMo5CHM04lvpw7Tpj3bzBectTVIFUqTTguaZMBnbul3p9cBdKDx9vj2bLjqx1QjxZaaEVZXO7P3+8PcIwK7HaDt1yULUmTJmyKJQ5sj1ndaAMfG+W8T7vWrLZibA3KWY3CE5TaoOX+yny0qAw5tS1A+vOGlDNGwgXyuCjN0MEnjiSlb+qXLmbDEKIMwOs49t00blXlxk/BtJdN9Lp9XjePi2UwfP9CdLSuIDJPzqoXMrA9YznuEhX30W3pVqGSWmDlwc5NrsWrfDoOXXT4UH1PSiFWEqTKNczZLFzqEnB0PEGNHd4ydO57tv7uQ6zZcQbvq+qKS31m2dN0vDdt1TLWdWc3imB9BBKN0dL4LDkst4B9+h6rd40S+KWEVmpzUEwFvjJJwKf7k6wkrh1M1dbITqxD2sMPlhrY7PWCe7xSguf22jjJ14N8HqQY5gXaAUSb0clvvX9fTxZi7HaCvHTT1YRBR52x7mbBxP66LdDREGAlwcp2pGP9bbFZsd1Ef7sYIJxkSHLDPaLErkC8kKjmwTItYDn+QisgTIaq20fdhqs7k8K5KWbw9FfD/Gz76+6OSeDAuOyRKEtIl+gG/vYG5f45O0EmbbohBKtUCDXbgDZjXxkhUFWKhjj5op8fztFLCXC6byVVuRjrZugH4X4ia2e64SclsgLjf1xiUmuEUmJg3GBt+MMqQrQDT0oayGERSuS6CU+Plhrw1qLOPSwv13i5cB1ZO63AuSlwVpLYpgpDCeHWbD9SY44COBLgR+8GWFSGPSTEJEnoJDi07djFMaiUBqdWCIJXWYxnzYVaIU+2pEPKQR2RhmeHWTwhcsslMZga62NcpqN7sQ+NrvxdM1PYHtYYLXlQ1mLnXGGyHfZ07TQs2VO9tMSG50QG53wyBdKoQzSQmM/LTDISkxyg1ejFDvjAhvdCO+vtU4EqcBhFcHxALPU7vmkdMsmZYPD4LCaB5oWCklwuB6rhQsGs+nSPfVAeGvFzcE9aw3P6nle7KXYHRWIIx/dWM4+d/PuWFfbmdTmk1alzi8PMrwau6WTQl+eCMyPzy0NpIe8PFw64LRgwlq3v18NMijtysBD6R3J6h7fxiqghz5ZLn0ZxwfChdIY5wqtyJ9l5RcJDs4bRFXHepIfPdZnbVMgxeUHZxd4XOh7eLySYD8tsJK4G4vj/OiyD4U2GGXuPM6UnpWMn2bZXVgv29X3rExiqd2c/F4SzLpPP+7fXnlztTxZoQ0Cz0MUyBtdT/XWA4GGpX0btCnUYPNunhUNC1LfFQxQ6cLqZcGLDFhO+/t25KMbu7tUT9ddIFo1Wym1RSDFkeC0/lyb3fhoaaAF/l3+Gf70n/oA/SREGLgswuS5ns7R813zJaXhex4er7ax2TPIStcVNS0N1uIAv6cNjADWNkKstxOsdSWsEdgeZZAiwEorxNPNFrYHOcaFwjg3CH2BD1ZbWGlF+Nx6B6vtEBsdhU/fjpEWGka4yfKFsph0FTwhMM4K5MqVGu9MFHZGOQ5yBWMMJoXGp3tjhJ6EgJtjKDzXuOVhJ8EXH3YBAH/47ACq1Nge53jQiZAWBm/yDMa6OaYWQCAC+BboJgE+2OhgUmhYa93SKoWGMgYb3RDaWHxutY3VToT1ToT9SYHAFxilCp9bSfB4rT1rslQaDXhAqhTW+y38TD/G870UqdLIStfIYr0T4dnuBLupC4i2+u44Pui5NU+tNRgVFu3IQmsgLUoMcwPfd91yO2GJca6w0g6xmvgIpcRqO4CsNYsotJ6Wynp4sT+G0m7ZHwGXachUilYoMcpLDFPljrW00MbDMC8Q+gKTIqwFEIcBXDXhdatfa3Si9KxUeHtUoBMGRzKO9UH3o14ya8BRZTMLZWbPWQ/0qnLHUJ09l1FKgSSSSHOF0Js+rpxfLlovte3GAbS2GGWlK9WfjlzTwnVSrm441ben3jjpUS9CVk5fq7b986SFm4NdHZPQE7N53IH0ZjcMSm1mpeAXWTuwPsg83jdk3oBcVqWVuUIrOJmpm2WZLjB6rYK1jU4I6YnZOreLuOgg+bJBRjjNeJfa4OvP9tGP3Y2woHZDw8LN+T5vYfpCGXzj+T4EBFaPrWl8UaU2s2D5+M2Eqzosvy8RVnOlb3HurVsSTMGXHjxc8QbMNNhrQpC1zMD3vs7FbLomZdebpv49/rifoDSWAeotYYBKl3K8LPgyf39a4Pp0o3Nu8Ftv9FR51PHxdPOwnfY4Vwilh27sGuOsTucSRNOsUSg9PF13F6Jq3dh+K8Srgxyt0IcnLLZWWvCngdqjfoxiOvhea0WYFBpvRxn2JyWE58p429NuuJ3YxxcfdvF27DrXtQL3+nlpoLTGQaYRBB4S6WOYpUh8idIAvgDagYSwHkIfgLXotQJsTLscSylmmdNQeoh9D6/2U0wKg15bQhuJH3vQxaRUsAB+9HaCThwgsnCdDZMAz3YnACy+93qMg0zBF24wu9mLYKdNgZSxrrOqADrTubGA69T3Yi+DhoGEhwc912Hwxd4E24MMrTDAMFP4wZsh0tLgIDcYZq7B0mornM7f9dEtfDzbGWAUSqx2QrTCAHFo0YtDTHKFcaHcciWjAnupQje2GKYaj1dilNpinKvZvK5hVgIQ6MUhBlkJpTWUAfZHBXKjsdZy5ehJIJArjWe7Y+wMJfYnJQLfQzcKZnNmXfDkmkQdX9uzmjvam2alVloBvNralFXg4v5bz+ZtW+syqPPmeE4KhWe7E3TjAP3k9MF/NZjvRD78abZ2Z5jDWjvLggKHA9gqizYuFHpxgO++GUJO11wVwKxd/mzAXMt21Eui01wjLxRWW+Gpc1Tr5LFj0k2CI2VSH2+PcJAVkMLDjz3szl078KwyxvOWRTuuWsNXGbOUbFqpDb7zaoCi1LBC4L3VxYPT+nNUAfoyliA47TUm1fk7vYlTHYdZf4Hp+bHejk40nDr+XMZYJNNr5MJZ6DnP8/IgQ15o97nxLz9Xbd5pcKQc3neZ+4uUxC5bID1oa1EWCmFy9k2ARV3k9K+OVand+udNa5T1LqqO33ldee8j957vRmBcv3lWFpdrbEdXxwCVbtVpgesyvkwD6WG1HcC6ZTLRjlx5VTWf9Xg2t9QGH250UCgzm09blUVWf3u8sUg9i1s9f/19BNLDMMsh4MqTN7sxJoWC7w+RlxaFUgg9D74vMJwotGMPG70ED3uha1olgNV2hHGuUQi3rMbOKJuWlLplYfbyEtazaMUhPr/ZwaN+gtfDDPtpgf1py/06KQWUATwP+NxKgv1JCW0F3owK+MKDgGsCIyXQiUKUWuOj10NID3h+kMNYjcQPsNENptnaAtITUBboJz4O0gLDTMFa4NOBxpO9CfYnJYrSIlca2lh04gCP1hMkvlvLtmpMNEgLtwyHcPd4fSnQiSR8IbA7zjFICzxZTQC4cvFW6KEVHjZGAty6ppNSo50EsDlwkOWY5AarnRBxEOC9lRbWuzH20xxKA8n0dZ/tTiA9ge1RMT1/jmbc6qU/ge+aWg3zchaIvh3m2E8LbI8KvLeS4Nl+is1uiG4UQBl7IlNYaoPP9lLsjQo31ziURwb/VbapOr8eryQYZO48PZi40thcHWZBS20wmpbMVp8hW13irUUYSGhj0G8FWIkEHq8kszvDnhDQ9jBoVRZIc4048hEF7neLZDqrIKEqBy61RSjdc04KhY+3x4gDD1lZ4slqMrtZdF3q2dqLXFPOKiOtd46eFGqWEVxkfl0+XS4H1q2R/LDnumLnyhxZ+/Iq8lLj+29GgHVrHAoAk0KfmOvpT0vYo+BkR+RCuXnpsxsHV2jwY2s3PmAtMm2QePLMGx0XvRFRqba3WpbnNofD1U2ArNTY7MQYFyeXIVmUONZNfBFHqkEsGtnN+TYxi3jzqu80b7oWfBNcZyn8bd4guw8YoNK9Ffoe3lttnwhGzwuK582nnfd37ufTO7wVyuCzt2N8ujtBEvp4ut7C040O2pE/m4+YlwZPVtrYHk7wsUoxyTQ+fjOBtQKb3QQb3RCbnRjfermPb7wYwRqBz3Yn+NJWDw96EeJQzgKVUhs86Mb43EYbSShxkAaw1q0PuTpd6sQtO5PBaotRpvETD/qIowKBFBimCpu9yM2x9IDVVoThpMTeWCP0PRykCpPCrcfVSzSEEFhvK6RFidV2hK1MIZCAthbjvETs+4h94FEvxnCi8OneGLo0SCKJx6sttx7mpHRBUCiPLKHSCgMM0gIHkwI7www/2pkg9D1ID3hvNca3XwzcEi6Rj8e9GO9NGzGpkWuANcoNkkAgCWO0AjnLFA3SAllpoJRB7PtIAs+VpVoXDPfiaXY0CY8sp+LazptZZ96qRLIaAKbKwPdcUAtjcZAVyEoFgXC2PMxxpTbwhWuCNS40tLZHgteXBxmGWTlbgzYOglnZ5kGq3PuXbkmhSaGwMyrw0lqstUO8v9aevc7xJkit0EfkC1hrZ8G174lZoBtID++vJhDWTjP2Eo+n1QNnzkGtvV4/Cd0NHunWAazW/nR/df6d9Oomke95kJ6c7ZNcWXRVsNDgxi23kmKUuw7V6+3oyoOi+r4sjcWbQQ4x7QV8XgBgrZv7WS03kk0D3FGmEPoedtLDxlWzx0z300XGUFmpZ6+BQrkbEkl47DicrtRumRptLNY7Id5bbS+lwU+17yanlFsvU5Wsue15mFWwHPgCOH/Xn+siQVWuDs+Di3ZKXubA+rI3G86ijD1xY+i+qpZXa4K81K4p4pwbfucd5uo7rR1KDNLySjdMlj0nnpqJASrda8vKxl5GdQFdbbnlZsppI5h25OP9tcPAuVAGB1mBTiynmSwzDSI8PF5poRO7xkZvhq70+Ievh8iVW+9UTS/Uu+MC3cQFev0kxDh3C4c/XWshiQL0Eh/PdicojUEsJbodH93Ex2o7QFoqvNxPsTcpkSqNB50ISRi4gYUQWBUWaWnwdlhMB1zA59e7iEKBt6Mcg0xhW7vmJN04wDDX7svKAv3QlaNOtIFnFLT2UMDAH2R4vJrA98QsCKq6xI4LPQsapXRlonHo4el6G6/2M/xge4JxrpEbjXVYvDyweDidF+l7At2OmzeaK4MoACalRjjNMPq+xI89cmvXhlKimxx2Od0ZFRikBdQ0m1kPTr//eugyQLV5qXvjwzVjS10gKzUyq5BrjWyoMUwVXhxkaIcBkpbE9tA1dNoZFegn7r0KIZD4EsYCW33XMGmcq9lcUWPgMmHazKKUqqnRpFDYHRUotJkFyL3YzSeulybXSx+rAFMZix/sjGfzaR/34yPzS1uhjw83O7MANpDebHHwRQXSO9LJ15WRu1L1bhKjFfrTDtNHFcrghztj99rTMlpt3M0AYQGt7UJrW5bawMIN0PPy9OVWgHogePYoq95Qqspka2NQKDdgPuuGVfX4KsAV046+w6zEZjc6PM5XNO+GRCs62ZzntMCh1AbauP2ma82rrjoYrO+7JyuthYLl05x3nMSCf3ddqkyR0ubC5ZzLikVkrWnbZTLfN23hbs2lwcf7Gu/tjRHJ+Us8XTYmvo5g+sjzX+uzX69CGXx7unbxRie6cIBZVVC0Q9+Vvl/ghsnx7fj6s31IcTgn/oLN0emOYIBKdE0OB3Ru7uOqPOz2WQ+cS23wsBvDaItP1RijzGBrs4tO4s/unK62I2y03fIdB4VCmim8NCke9BJs9mLYV0M87Iaw1j3f040ONrsukDLW4psvBxilGnEgICXw8iBF5Ps4mJSIfYnNboQ4kAh8gYd9FzxMCoX+tNFHKwIOUoVYCgxyhQfdGBOloIXBasstH+N5ASalhi89PF1rQRnA9jwEUuJJP8LzgxxSGhSlh4O8RDySeG+tNdtX1b6pBwDffjlElpfISoNMaXRbATqhj4OgwKe7OYx2cxzTQgPhNHsEQFn3vkeZQqkseomPVifEIFUYpQrfeT3ESjtA4En89Ht9tEIfGx3g2e4Evjy5fEypzZGyzoNUzYI7AK701XPz/FZarnnO5zc6SEuNzW40y5z50sOnb4d4tmsR+T56sYQvPbRDie1RhpcH1mXTRgUEcKSstj7YngXPWqMXuLm9Wrsy3HCaLa8HO/XMLADk2iItylnGd175OuCOOazFJNfYmC4PdZXPwwdrrSMBjzYn5/ek047BVen1QVq4uZrWohUdndN63uthutyK9E4vTXYBmTmyjM5ZA9V6Q62dUYFvvRi4LJkUsznoAOZGGnZaBg+4aQXWun18kB4e51xdLUidd0PirPcjjm1oPcANk+DCS+OcZdmNkU4jhECpNUaZgohvdvRaZYp2xwWUNnjQi89/0DkukxEOvMMbWeet5XjdgdkyjQsFYwEpvAtnhu+rmzh89e/By+z36royLhSSK1RQVIFuGBzOiY/e8eN/XzFAJbomoe8dCRSPz1GtBNItQfB4rYVu4uZ19hL/SGfVTuzjZz+3hp1Rhs1uhIf9GJNCw4PLQHYjiTejArGU2B5maEed2dq141xhoxUgCSQmeYlWFGKtHWKt7dZBzQoNQCAOJcJaIFMFJxbAo26ENFfYHhWIQwnPA1qhh28+G8EIg6wEfrITYZwrrCUBHvQSBFJg+4cusFprx/A9DwdpidwYJL6P0rgvvH4SntgfVTnyZicEOhG6sY/1ToxO4uOjN2OEnoduFOFBN4KywEFa4EdvFdbaLrAW1uJgUmI/VW6uYyghIFyGNQphtUU3CmZruwbSO1w+ptYgqdr/WalRGuMCOmBWOteNNNqh70qqp/NCB2kxywwm09+hxKx5kDZAO3JL9pTGlTx34gCltng7zrDWjhF4Av1WMGv2cvzLvAqO9sYl9sYKD3oR3ls7umTN/sSVySaBPDIfrTQWe6lBd1xC6QLCA5SyJ+aXVgOBJPTnBq/Ht2eclUAUHPn34+Om4yXC1aCn/u+H3VjdfF4XP4lZwF4t66LV2c0rQt/D1nS5leSUOah56fZL4AnkpUEYnL4sznGBdGviqmkW3Z8Grac1PiqUwYv9CQ7SEhAC7ekapVv92M19TqbzsvLDx8wbeNrp+qvnbRtQD+Tlib+xs/8/+iL1TOd6Ozpyk+YizXaqx7RvcGmVipqe751ITrv6XrwC4LKqz40nxOyG4W2ojurbUYH9iVty6OlG59aDuUIdzq2fd16e9xhfCngCmOQavWT+Or8X9a7PFVwkwL3qXPTquhJPO2xfdarAIttxb0qB7eH1tBOdPOfr3dHv9Ps8hgEq0TWa12143t/MuhlvHA4sj19sOrGP0G9VPS/QDt16oUIA3cjHR9tDPOwls4Fy9VhXaulDSoN2ILHVd4N2CyCUAk8etGbNX374doyDSYlUGazErkstCoXQl5DTuYXSEyi0wXdfDzBKS0B6eH8lcYGUL7G1kuBBN4a1QKrckjfbgwK9xMfWSoLdcY5hrqG0xdugOHGxrX6eFAqjvMQ41/CEN+uYu9kJEfQTbK2UaEcBcu0CbGUKbHYSvNyfoDRw2dm9FHHgsrhJ6OZ6QgBR4GFvksMYF9y+GqTwPYH9VCGWchasVV12XWdjga2+C452RgVe7I8BCCShRhLKwyDWl9iqzVUNfVdSW2UzBNw6t1npMrse3DrB3dhHIOWR0kwhMJuXGEpvNnuz1AaBJ/DBehvDrMR6J5xlAH3p5vl9sjtxTWkKAykxCzbTcQ6Io49dn96sOK0plH/G3NMq+I19D2Faoj3nC/Ssx9WX9Kn211Y/xiB1XaSrGwb9VoA4kLNlXbJzAtRqX7RC/9QsYBVMxMFhVmDRABVwZcuBlBhkBVrTwdK8suXqtcy05Li6AVLt19iXS81UHt+3reBoIGCtPXNQWs90ZrXGTos22ylU7YaIchUdV1WPyc8bUCvjjmsrOCwnvGqAumgQU//cVJn7y2a46qXC1bzLRRvMlNrg7SjHi4MUndBHVujpsm1nfx9Vr5lcw42FaskiY06el9W88+PXjkIZ/ODNCKPc3dh53I+xGgs86EdLmVd+k6pM9SKf9MObQgHicLFA/jpddu3iukCebCa5jO1Qx24CFcrdMP3+9gj9JEAovTvdJOzIDWZt8HT98EZT9btBWiIJ5pe831UMUIka4GTzpfkXmNOW5gmkh0mp4QmXaap/yc97TDs+2cnYLd0ikIQ+Sl3A91w5DoRANwrwqBfjxX4KISy0seiGAUIpobTBWjeaLVtRfQmNc4V2IPB0o41vvjjA9lBjUhi0Qg+fW3XZ4rej3AWA1uLVsMCjXghAYJQV2BkXyJQrIf7pre6s42zgSxdsRQHWOiFeHmR4uTfBJDf45O0Iw8zN70sL11xorXO41ulWP8ZqK0Q/CfAHn+xiZ1zg//ejXUTSw1Y/QSd281KTabBXddmNIx/TRPiJzNmkUHh9kLlOxgbY6ofHykUxOyZV86C1ToHXgwxxICGn2dIP1tpoRdmRTOWL/cMg44O11qzUrxoEq2nJVf31AFcmWwWkxlpIiCPBphSYPbafhGhHPibH2unXM2lJIKGMnQ0g52VaW6GcZcWr3581MK9naI9nrAPpoZcEs/nIVcB+Vjfes17rtF8F0kNpLLaHOR72IrQD/8y/P/25zx9y+tKDgEBauIH2dWb05u3byzzHMCun88kv1myn/vqLlmQvQzWoj/zllBOe5bTszPHPzWWXFKkGnqO8xMGkhLFuaatFGszMmqylhbt+9SUQnL0ddjr4fXmQYRDKaxnslrpasujoeVkot3xTNc//QW3981KbWcl/Wii31JsnrhzoXMZNZeTqAYkxFu+vtRsRdNxUif5VtqNQbhzw8iDD3ric3kRsXin4Rc6l+vW0yqbWPx+wFsbi3pW8M0AlumNO60L8wdrJjsWnPWbec1SD9XScw5cePlhv48XBBAAQh/JIuTIsUCqDQmsYA/yxhz2stsMjC1oH0oMQAkpb+MIFxb4UkJ7LPHlwc0UBi/20xP4ohy8sRtOAb5AptCIfnsU0eLKIAu9IJ916sLjZjTHONDY6QL8V4MV+irVOiElhAKtxkCps9WO0I3+6tIeF0kBRakgh8NneGA/7CTY6bh5tWmjAuhLcNFdoBYeBWSv0kYQBSm2OdAAepMWsZPi0QXHVhKgbBa4RTS1zWW9KNC/IiHwJC3tkEFx/rSqo8MRhQNqalpJWcx9boY/nLW82p7Q6TqdtazWHcV62s/obFwzoI2Xp56lnmurlxXl5mEmZ9x6rL/ZyzlzN46Wo1Rd2Vlr04vllZQJAqRXSwl+oxLdellxlsntxdG6Jb7XsSLX81EWCpvprLuK0fVs3awx1LBovtUE67QrdiwNA2NkySYuW9h2fx3qV+WajrDr3F8/ahr67LnSjAL0kwP7EVYwsa66e6xA9mR2T4027quPre+LSywdVn3+lgVJbGGvQCpNZE7T6uTzvGMJarLYjrI4LBD7waHrtW+Q1lzXYLbXBqLZU1mnn5fF5/scrgCBw4jE3XZA775hfdN8seiacFZDQ2UptMMkNunGAvXGBQVagHSbXcpPqstJC449eHKC94I2gI9fT1tHr6VVLr5uMASrRPbGMjsXuS9/OvvyreajPvQmerLZm81oB4Gc/tzZbL7Zalud4gLCRCDxZTTApFIZZOS1rjfDBehvaGPi+h2f7KawB4tDHsCgxTo2bLyo8hMLDRjvCajvA7rjAwaQ8ESC1Qh8Pum7gLxO35Z5wmeBAeoDVczNJ7djHIFPQ2pX8dkIfX5iWItbXRI2lQBh4s07BwMlurq8PMuyOM+xNFCBcJ+JqG+cNSupfKnHggs5vvTjAJ29d2fCDXoRH08661cDMLQWDI918j2cyXx5kaE2zslUg3wokPt1LD8s9pyWv9ayrwGGmotqn9eeuL49Sz3ZW73+jEyIJXCfmI2tqnlNGejwALbXBp9PS5Oo417ez1K5E0Bp3zFbbh43HcuVKUUulkeYaH6y3Z0GLmGYi6gOBQhkcpAVKraEM8GacY5CX+HCjM1va5rjjpbMbnfDI4MBa18Sl1G7t1eNC3zuR7Xa76fQdVZWZV92uNzsRojnPfea+vcC80ZcHGbJCYXdcYq0dQsAtkxRIb25pnwsiS4T+YXa7XoZXzYm+qGpbkkAiLTWerh8GgfP2VlFbVqUq+buuLFupjZsuAAAw15IhPjIo9T1oI1zp7QIZ4XqFxdZqCxudEJ9bIAu3yGD3+L4/bU708eO31Y9PNvA6EoTOv6HiHpMgV0dv/F02M31ZpTZISw1jAYOzu4JfVX1/VHPul+k2emLdVGdtd8MVUMpgsxdjqx9fuiT5uvZTWrpxlfTEQjeC6tfzenXB8d9dZRmwJmKASkQA3EWynwTIlcQwK3GQFmgFEr6cfxHtxP6R9WLrGYxqrprvCay0Qny42YE2Brkys4BWG4thrrDRDtENfbwZTPDpnkZeakwK13H46WYbP/awh34SIlMaSgODtMAgLWfrlAbSdYe1ONocJvS9afZMz77wq9+3Ix9f2OzgUS/GzijHg56b85iWClJ4kFLA9zyM8xIHxqKXhHg7Ko4EbtX/74wKWGuxnyl0InmkyRIATHIFPW2aUql/qfTiAIOsxCArEQc+ANdhNy0C9BMfSlskoTy3JPTwrrt0ayDCBZrW2nPLPavAcHuQoQqQ319rHXmvoe8hK9RsvdTjwdqHG24AfCRAPUc941pqg0Faolq6Z14gbKxFXmoEUp7IKrqsqsYoV9ge5LNzdF55alUGNswUXh3k8CTQjdyatVWmel7W8nhWGzjsOr3WivDtVwOE0kNxSoB60QFPocyRMvMkMDiYFFhZYO7duVnaOdtSvb9u7G4IDaefs+q8nxecVh1ru5F/5AZA9fqBf/kS19kOq88jPWUfHg/o3M2h6xlhBtKbLi9k4MenZ4hF/Y7S1CJNrqrXqM6tav3jRRvMzLv5s8jAdZmD3XnHr3qN4/vreOA6r7pH3vJaIoF0vQTyUp+YZ7/ss6x+HLamc+5pMVWlyjAvZ9VKTdt/1bVqkmustBarpjnrc9yU0utlY4BKRAAwK0n7/jSLt992DYzc3DmcexEttUE3luhEwawMs/7cnciflXsVyhxZ2zIJven6ox48EeKDjRY2OzG+8OCwrDiaSIyyw86u9Szl8S6doe9hb1JgZ1RAegLaWPQT/0h29+lGB6U2WBlms+AIOOwg/OztCIOJRiuSSHwPpdYnApZJoTBMc2SlQVlo7BZ6uoaqC05eHmSQwq3F+qBWUlv/XzWY9qWHrHTrqVZVgXsThdV2gDiYzr884xhUX3qjXB0J/PwzshOzwM+4ucRVgHz8vVbZs0mppkuqeLO1Ws8KfI8HCPWgLw4kIFyp+KRQeDsN9KulewIpTwTChdJ4PcwhIRCF3pGMvu+5cyjNNfxpc58wcKXOLtN/mBEqtcH+tOvyo16EXBm0Y4nAO/ma1Zy4+j6u78t69re6Kw51ck3TyyzlUSgDXwBJJDGcFBgAaAcpxoW+lmYY9czbZi/G1kri1lWeBuPHVe/ZE4tlAi6zLUeWWjpjF9aDnE7kw1i3/6w9bEi1LNUgeJSrhRr1XDYTUz+/AKAVnT4H+7TH1rdhkaTjsga7Z2VFF9neunk3Gm46XJ0FPlmJ1VZ47Rm5wxs89yvouAlVYNpU1bVKANPGZTzG8zT3CBLRjQp9D5vdGMNMYbUVAgKzL+JFBiyB9BBJiUKZEwGty2QqvNjPXLdS69YLjX0Pa+0Q+5MSG+0Y3cjNHe1GIR714yMX7yerLRhr3dqfc5aCOW5SKKRFiV4cIpQCrw9cU6LjnUh3RgXSQmF/UuKnHveRKT3NpGmstAO82i8wzhV6cXCkDLZ67DBTeD0o8GQ1QTeWWElC9JLgMKOnDPaGOT7bGePBtGS1np2ssikbnRCt0MOL/RSTUmNvovBm5PbXMFV40I0QtSOcdb++n7hAthcHs/U0q/UQ581XrYKwOJAQAEZ5CWUtWmF8YnAbSg8t4c+61J4YgHrzA4gqMDse9MWBhNLuJkVaKOyNS3xuvYXNDmb78HggnCuX5e8lAcSx1wp9D++vJtBKYzctsZcWMNP9CgCP+4eZCN87nKObRAHeX3d/E85uFByWiw5Tt0xHtf/m7UvAzUO+yIB8EW6AKtEB3D7zBaJQnhoMFsqc+7mY/W0176+W6T3+/vqtEKH0MC5O377rmv8USDePNJ3d9PFmHa3Pekz1v1GusDPMISUwyrQrmV+ii2Rnrrus8bZe6yxnfVaW4aoVvpe5abCsjNwNVyefq1CuOuU+ZuGaKpAewivu72Z80q8PA1QimmlHPtbaIaoFFS4yh+u0DsP1TOneuMAH6+3ZhbUTuaAjkAIrrQAWAXpxgK1+gpX20bvUoe/Wi9XaYpAVsyzlpFDoRv6RDEmh3Dqh++MSsEA/CdGNA6y2wyNNRqomN+1OBFjX/VYIoJcEKLRFN5ToRiFakcSk0NgZ5tgeFdjshlAG8D3gCw+6yNUAceAhCYNZYAUA2gKDSQnrCRyMS7RiiVGmsd4JZ+u/lrXS6FS57I/vedgZZLDKwpcCSp898KwHf5lv0J2uR1pqA23coP74HeV6uWooBdY6IZQ2sAKQ8waTxwZViwxA64PA4+WxVTa1KimtGloc34f1ICiQAtJzjUOOL31jp+/xyVoL8iDFk5XW9OaDPvJ8gGtSEU7ndNZ/VxVkVsFmtRZrO8qQazPL2M97ryfm111gQF4og0zZacbvcKcFvpg9J3B4M2VeMFg1cUlLfaS64LTXq86XvDToxEdL1xfd9mWWhB5XavcZhrUYFxqdqN4Z257bBbO6meQazZzMaNP1EhDLC0yXMBK/aAXDoqXYiz3X9P8bGFJU0zs6kUTs369lShbRvCNCFQaoRDRzWpB5kcfPe8xK7COJ/Nk6oFXw2478I9mes163UAavB4fLuWx0fOyNC2jjlr35oNYEpNQG6+0QT1YSjDKFzW6Eca6gjT2S3Q2kh34SwAKzjC3gsktbfQ/9OMDDvsV+WmBcKChrURo3x1IpDSWAfuyyvVVmr/7c768lLvAsFfbGHnwhoezRgXI9cCt1AW2FC1JXW3i0auF7LpBqBadfrl2wp6dZJj0bnD/bnUxLacWJgKUK/AD3f4H00ImDucu+zBtY1ct1A+nm+501ADu1ZLNWUroxXc/1+HYeX+6m1Abt2rzSUptZ+XPVYXlSKuyMMmgbYlxorLcjJKHEKFP4nY+3UZQW8AR++r3+iUF09ZrVWqxerWz31DJEe7HgbhagwwWebyYuwEzCo0uT1J9zq+8yyiutk2tZ1pu4VAHZqQFq7Zwz5/ztea5r/tO8GxpVh+VSGWwPM2ht4Ut3zQrk0WDioiWm1+mqzVZmDWau8Dx3eSBe3/ZSuw7spbLA2Uu6HlFfZ/U2z4Wmuc4y/Ztyl89tOh0DVCI6YhndgOuq+ZWFMrMgsJ6ZXWT9VwCzACXyJYZpgWHqOlq2pw2X6l+sVfmMNm59zpVWiJVWeCIAnheQj3I168Qa+h7EtKR1e1hAlRpvJwWMtoh8H2vtAO1IYpB5s6ztVv9wANQOA3y42cGkUOgnIXLl5sLVs5mh75pvvBlMIISHJ6vJiVLc6ueq2+68LN32sACMhRAWSejhk90JJqVGPw7RjuSJIKQqoRQAVlsRhnmJg1TNH9BP569VA+XjnWW3+vHcZUDqA4d5GVdjLbb68andg+uPDaQ37WRsZ+fUpFCzTOA4U1iZdvXd6sew1iLtarTCwK2fqFyp6CArUJQWK+0Q+2OXYZ03XymQJ9diXdbAtp7xTpWB7+HY0h6nd+k9SBWMTRFN5ImmRNpYV558zrbWg7dOdPYyMLeR9Zk1PDtlDmqpDca5hhDufHDn1NF9dt0lpvfJbXR1vYzqc7OfW7zYT5GEp8zJPfZ+CuWyhMPssAs8OdXnbJxrrC7YsGeZ2eXbUlVgnLYsGN0+BqhEdK2umpWtBNJDEkgU2mBnXKCf+BhmJbZkcmL9zdNec95rHw/Ii1LPggdrLVZbEQBgsxMikBLdcQYIDw+6EUptID23BMxaO8TrQXakw3C13f0kxEY7wkFWzh0su3LGEp50czOPd9AFDoOX09Yj3eyEANx6rl/7dA+jzCAKPXgQiP3TXtN1albGzc9dZEBf6pOdZQepm8NaKO/IHN1Aemgdm+M473mr5YyqtWovkoWcdek9lgl0AX1tmZ7pvye+D3gC++MC8ASScE4wWFvK56x9Mq/T72mOZ4GOZM21Rabsibnbp61vqTQQ1hafrwZbm90IaXn2OrzA0XLktVaETM3vvOzKIg8HcBdZXP6q5u37al61Pw3GXdVAcCR4Pf4cAJZS3nuVGK7+2POaFV3XePn4sbyLqvM/9gUszl8PtjLO3TJnZzV0AxY/xuKy+/GcFzjZ8/n6VZ8zACeWMLmvxrnCt14O0I0lfM817OMNrOZhgEpE124ZWdkq6NyfFPjcWhvSE5Cea+S0Mqer4mVfs95cCRCzwYw2FhAanSREO3TNoCAEOlGAjY5FWqgTHYarpkxuYOUGNfXBUdVBF8B0TurJDrp188oeq8F7FEwbVFmBXhTCmhJBCHQjH+/VAt7jz7XeCTHO3HOdlsGsD21LfbKzLAB8/80IDzsRXo9yrLZ87E0UtvoR8lLP1u2svy9j7ay8dN57WkQ9y1YNMqogvhVIaGux3g4P18SFW//2p9/rz5rvnNft8bRg7/jNgvYFukbWtzvwJbY6IZ5HAk9WWxhmJZSZP0ytP65daxz03VcDJIFEVupZFnmRbQikWwYmm9+k98T7fb43gZp2xH2y2jr/QVd02r4PfA/vrbWwO86PzE097vgxWkku1331PKfNb7zb4WDzVOd/pmqN2hYga03R5lUXXDQovEhVQVVaLD0xm4Zw6QD3mlxXmf481UclLzWUuZ3GTFXjPd/zZt/PdyVAvSvVDsvAAJWI7ozQ97DSCjHO1SxomhecXlahDLaHOfbGJbLSlQcDbrmYUhsoI/B0o431doS34xyB9NCN3Vza/UmBrDQQnsAwKzGZBk3VINn3BJ7vTbA2zXQKuG6ykX92B93j7780Fuk4P9IkyN0FT5AWCsOswDB3a/U96Md42HMZ4PqXcDWP01hgUmhALDbYq8q6tLGIAw9oh4h9gSQIsGdKTJRCVipoIwFjEUwHAJNCzbKk5XQecNVJd6MTXmquoJ12nayvJ6uMnQ0+LABfCARz1sRshf7cwPQi3/3zAutFzcsORtP1Qie1tWbPelzVlGh3nCMrNaLAg50+fhZ8XnHQVU4zptX/JoWGBWBhFn6/1zWgkkLgIFUolGv0tNVPTvzNVY7RPHmpzy3BnqeszX+8jCqruqwsblMsWiZar1TY6sdYiQQeryy+PuhVGphdRakNnu2N8XZUAELgcT9e6nJHTXKR86tQBn/4/ABSCKy2ghtvzFTd6JgU+sjyY9QsDFCJ6E5ZVsnwPFWg8xOPulDaYrMbQxmD7UGGOPCRl+WsrKwKcIQQCKXASivE/qTAR2+GKDWmwWswGyRHUs46JY5yBcCinySw1p7fQbdGCgEFO/cevOt2GsCXEo96MdqRxKdv3VxRwAWDgfSwl1kcTEpYWKy2QiSBxEFWLrR/qrVllRV4uh7hIFUolYayFi8PUuyPFLRxa6oWxhzWrVWBwjgHYNGNYxeUAicGj6fNsz1SKjn9/9n8VOlBGX1i7mI4nZt4kUBpkT89/jq+J1Cekvk87fH195Ypg9/70dvpzQJXbj3v2U6UrVogKzXExDVzGuVqFvxfpFz6uFIbvBm4Yz0uNDY6IZRx6wj78dnzVq+btbXgcxqYzws+581jXez5T+75Qhl87/UQShtsdCJ0Yn86F1ZBnDGUqrqkVlncjXaEeF5Z+QUcL7WusnRnrZN8nkXP3Mus53sV9Y7T1Tkd+eLC1/3bmIfsbuqY2Q2SQi93Pd67qvrshsHpS2Zdp+qGhe8J9JMQg1O++5p4U+ddwgCViO6cZTdyqgTSg+cJhJ5E5LtOw+NcoRP70/mMbomSeYPhah3ZQrluqmmpMSkUIt910VXWQAoPxrjOo93IRxx4GKTldGkb1w34xX46e/7jHY6lENhoh0jVyXLY6jG9JERQKPhS4NVBjt1RAd/3kCkNpTWUASbKPU5oO12+xwOys/eNEGI2sOglIbJpRqgKLtuRj+++GuC91QTjosRWP8Z6O3LLvYzzWQMmX7pmT/WgoT54PGue7aLHsB7wRtMmVMtSxdvHX8f3PZTF/LmcwNkBcqkN3qYWrUGOOPLRjU+fN1ntn2FWuixi5soHS2OxmvgY5SWSIDwxP7a4YBav1AZZqWfLtADAVj/BuFBYb0e3PletngXpRNMS7lKf+JsjNz/8y5dWltpAaRdsVJnqN8MCwgJJ6KEVzc/Kz8vixrh8gDrKFL77eoBCaTzqJdjsxvh4Z4S8dE2j2qeUPN/V0sBlZ8ErF/08XIabG71Y4zJgfkB02bnDN30j4TRFrQqjMm+qwk0LpHd6k605rmt/3uS8/ruGASoR0dT87KyP91dbmBQa48J1+H15kM7ma9aHDlV34h9sjwC48t0HvQj9xEc/DvD5jS4GWQFjgV4cQBuLYVZinCs30I59YBoIVl1y6+XAnhDoxv7cjFAgPXg4DPwAt55nEknsjwrAA5LAx6dvxzjILX7wZoT1bnihgetsDlihILyjwWWpDSLfh+8Bk8KVgx6kJZ6snAwUgKPdietOG5CW2iAO5Kzr4ontrv1cf14XWGuMMnVux8bTMrdn7Y/q7xbZj6f9TakNBNy83jRXaAVnN6mCtdAGMLBIixJr7RiTXGF3WGBvXGJvrPCgFx3ua2Xw6iDF/sR1MV2tLVNz2jbNyz4G0lUORMHtD6SqLEjgCay2I5c1nmNZmbPjg2oAKJXGKFcQmUAsPXy42TnxWpfN4tZVx6goNX64PcazvQniyMda2+DtOEM+vZGQLTGAu8i2XWcj1GXsv+NK7ZYsy6eB42prsXnblUXnkAbSw5OVZNYcD3A3NuQd7xy76DEvlMFnu2MoY5EWGhtdN92kXnK97PWT75JCG/zw+b4bN0zn9b+r+2IeBqhERDXHs7Oh7+HpRgf7kwKR7zIl1bI2gfSOfFFXWdRRrtCNA+wM88O1SC2w2o7QCn3kypU0aWPRjQOstEJkpcbqdD7tZ3spstKg40lkypVsduMYelp2XM2rrA+qfOma7OynRS0wsbPsUhxIpKWGLyU2YwE97VK8PcwQyJPz944TAELplqYplIY/DUoBzAKXB70IShtk2mC97f67/jfHA+rjqgDRDWgOA+0qo+p5Ag978Yk5pWdR04xjO5QYZiVWknDueohXydy6ZlcWejov9qLctrj1b+PQx3vTpYbm3bWvD9j7SYBASqSFgrYuG/7BehvDrMR653DQXWqD/clhF9NCnR/EzJsnex0WXbLiyK6odVluTbMgZolZ8nmOD6oP0gLKAmmusdYJIaU4cQNGTc/9o1ncy+/HUhvkWs9uZGhtkbR8QBRIa3OX8wWO711xHfNHS21mQf0ys7LzhIFEa/p9UV1fhqlCLwnufTBSaoO9cYE49A/L8qeqY3nf98FZ0sKtzW6PLDH27u6P4xigEhGdo96cSZvD+Z+TQqHUIcJa6WA78rHaCmEBaFgXSAnMglo3L8mt4RoHrkGSNhahnL5GoeALoBP5KEqFKoe6O87RDl1DpqKWVaxnewP/6Bqrj1cSBL6AEEA79DHKXWD2iRXoxwE+XO/A4LBp0nmDwGoOqjUW26MMq+1wNl8ykB7eX2tBAHjYi5Ep17nYTBsXnTe4rA/gLIB+K0Ar9I9kVKsmNfOe57SAVZlqrqJbougHOyMX+B0LQi/bTbja7mBaZlt/zkXLCAPpYTUW2FpJzt1P9cDxyUoLrSibbevOMEc5LUOtnwfzslDFAoPys7al/t5uo0TvNgoY64PqQHp4fzWBsBadKICq3Zyon8ulsdjohKd2yL7w6/sSHbildqqbENX5EE63bV6Aehvr2S7Lss+xq2ZlL7Iv693Pq+uL1ieXyLmPAunBVt3Kl3QMFyq1vSMJ6uo8HOcKkX+xLP67gAEqEdEC6uW/1gLfez1wS89YHCnNqf+dtgbfejFEriyy3M0Ze7GfolAGeWnw+c3OiZLiahDaDjyY2EcYeHh9kCErDUJ5dImaesbv8Up84ntZCLfGqLBAmht0Ex/rnRC9CPhwsw2D6ZxKi4Wyh9UgKw4kWoFEOM3y1QPbTuRjsxtjb5xjUmp8f3u0UFayPoDDsQGN8AS0tke7DS84Rgync4DHhYYHoNAavTg8EYSeNWg9ciPgjJLkMi1nf1dqtyzLOFezJU7knDLU+vysKiCvAj87Z67iiZsStTLrrRVvbtAYHMtChb6HcXGh3XiEa1yT4mBaMlyto3gZhTJLWW5iWeFXoQwKdfJGyLxxcSv08eFmB+E04D9+s8OXHl7sj6G0RhIGV9pPAOBPj+OkUHg7KvDptDpjte0C4KaPy5c5j+8qT3W8OuAmAsX69SW6pXU3b/r8qGe/29O529fhKufCdc7VPe+Zq/PQWouHvcW7Ur8rGKASES2oKv8d5668Mg4k8mmTg+NlwaHvIfA8bHZCrHemS70Y93fS8yAFZs2F6o+tvrT6sSsB+2R3jN1xiTjwsD3MMc5dYDVIS6RFiSQIkOYlDlJ5Yi1OF0BbtOMA40zNyo0LLfB4pQUxDfjcAEKiGwf4bHeMt6N8tkZo9fvJtOMuhHCdXD0PUnhQ06/hKjASwr3/VuRjUuqFs5KnBYjV/vAgYIFZkHf8y/94Rq8K5LpxMJur2I4CjF/pU+fwzislPHEjoLZURL0keZIfbYSitOvwetjBUyPxjh6f+nPvZS7TvDMqZq+VBPLUv4cQeNA9GvBUpdan7d9lDYonucKrgxS9ODwSYF9Uqd1yE0kg0Q7lQnOwSm2gjUESuPdZKrefz5tfvIhCGfxoZwQBYD9TCwWUgfTQjnzYXB35Nwi33BQgzt1P9UYpi7xeID34nphbVXDaeLshPXMa47zPw1nzLI/PQT0ryKmeo3596cb3v7y3Ur+BtkjVxn2Wl3q6fvrhv1Wf5XflfLgIBqhERBcUSA+eEMiVa25z2kDHn2ZDvel/t0LXFdhYC++U0rJqIOvuslffZK6TY5WtfHmQIc1LfO/NCJ1YYpRp+L4HYQW6iX8kuIMQmExLk6V0g1ozHXzVO34mgcQ4K10AJABfeHjQi/CoH2NnVKAdujVdNzoh4kCiGwWYTJtG1YOqbhQAIQ7X8jynlK6eEdzohEgLjeRYZ8dAeoh8iVzpIwPt+qD/YOKyl6Wx6Cc+BqmbuzvKFNbaIVqRj07snzqf7bQS53mlv9X823pJ8ko7OPLY+nsvjUWpDDxxtMts/bmNdR2ij79WfX7meR1Nr7tzZzVP6u0on9uM6aKq9yPEYnOw6uXUgSzRiiT2JyWMseglPpLpDZXL7oZSGxyk5axz8aKB9/GXq4KR6oZJqc2p53+hDH64M4KxFrEvXaO0c9TPLc+7euOg+xK7VueQMfZCHVqvUz2YrQdr95FaYDrHfTnXLqpQBt9+OUCpDXpJMGuMBCy+HvC7hgEqEdEFXWQt1n7iY70doTO9ax76pz+uUAavDjIXaExLhwPpoRf7KI1BJwkAC6wlAXYtsNIK0I8DdEOLh90YhT6aiYkDiY2Oy97EvsTrYe4GteJoUF29n71xjtV2gFIBgEWp9Sxoaoc+9iauLrQVumBPCGBcqLlBUxW4nxZ0Aifn6lXdiseFxlZ/TodfZY6UUlaPTZVB4nuzkspR5iEtLD633nKDVmNOrJt62nYcL0U+LciugqvNboTtYQ5r7SzL3Ar9WUlnVY756iBH4Av0kmDuc3sCSEKJcXGY4fWla6SF2rYvo6NpPdt80aC21AaeEHObMV3U7P3kCq1zyh5na51ai1bko1CuM2i19IuqNS67rBM3FabZ8UVMCjU7z6vKg34Szsq2Txu0l9ogLTSi2pqQ0ju6FnA1kK0OVT0bV+9sfdcs+4ZKOV0zNfQ8ZKVuRFfUph6a6hpQLZl1VaUy2Mssdv7/7f1prGVbux4GPaOZ3ep3V33VOedrrnMv5tq+QU6sKFEkCNgRigkSyFGUmEYyRrZEhJBwQIKIX0kQSCChWIFYJFISJwgs7o+Q5geCP3Fw7Dg33/V3m6853/nqVLtrN6ubzej4MeaYa6655lzN3lV1dtU3nqPSqVp7NqOZc+3xjOd9n3eW3zrs/3OEe59tmSpT5Yx7dMMTVA8PD48bYFct1nqB+YBSDOJg53lCaUySAHHIUJShi+fzAowSvF0oPBpzXKVFeaxCwBgeThJczgtIbUCwTlpyqXA+L8AJQUat+gkAR/FmSJEzgooDjlmaAbBkypGmpZBVSLBbdLl/h5xWpKl+XWeqBGNaSadQGhG3anS6yAEYDOO4NRxYKI0XNRI5Tvgq91MVKJStP5sEHEe9AGmRYpoVOOpFCBnbWYe0KxS5LfS3WtQRgkwqCG3w7WWKN7Mc0hg8GsX44f1hRdY5JWXJIHRe+ygm6IUcD8d07V5Kr1TXzbasVr/G7GfdIpRV7Fxtxl5wWE3Oeghz04zpULj+SK3xaLwiE7tK3ywyhZDTNUI/jINbL7RdzpzbVLheClxmu5XUZS7xO8+vAW0ASvCbT8bVuDSJabOupXuflrlEzEOEjCGTam3D5IvjXutYuPDAXSRaqFUY9G0J276UkriCwR8R1Xsc0YNdUd337W03OZpw7rXbNil2tSuX7zdXtijLTs0yCQ0cXGu6bVqF0tAGH9wZ+VMNVa9vftU3KT264Qmqh4eHxweAzTViiDmDNvstlgJGwajN8XRLWArgdBij0AYPxgmoq9vHKR5OEtwbxvjyxC4IlTZIxYrQEACcENwbRTifrdTPrpqRIad4dtyriKxTgh6ObTmPTCibc1tzCQ0YxaNJUjkEuz4SstsZN2AUnBDrXMxsTdlWddBYFdRda5oWSAtSlaMJOMO9YYRcKkhpsCgkzkYxTgchTvqRXVAZmwPUaiJUWzyQFmWybWHpyFUvtArW84vSEMkAv7xcALAKtlOG00KiH61yeusLVkc06vey+agZKCEbjry3WdwIpZE1S2wcIPO4+Z6WtR13taWQeq0sU9v1CFYlKLa9I27MCWxIunVNtuN50o/Wnv2boj4fLvR612J7kQtAG0z6Ia4WBdJC7U3cQ27HMxXWRC0tFC6WOdJCrOWuckZvRPhcdMAgYpim4jtVFT80uVilNCiMk/3fk1xo/PjVFJwQSGPeq/pX36h0ymK856aQUBo/eztHJjROBmHn3B06roVchbK/LzJp0146vr8/UbxPhb9uGHU6iLAsbv9d9bnDE1QPDw+PD4CAUUTMktNteap1NEOHAeC4H6JQGhGlVR5pP+JY1AifW7TkUmGaidrnISa9wObKkt1tcORsnFiCWneUDRnD84sUuVRYZFaxqvfVLcjrXKctJLVJzh5OErydZ6vja/9f3ZtW15qmBd7Oi1KEIlU5mpDZWq+jOMCraVpd35laLXKBi7dWaW4L462X6jC1e28bs4BRDKLALjYIQSEUKKNQ0m4UHPUjoJAY9+yO+VEvxDyXOx2Tl0W3IufmRSiNXARr5+2znmqdkwNriDbLGTXhwgcB4HJRgBLgujQd6gqvPp8VGCUcj4821UJgtVh0zwNnBKJQa/P8Pgiqu0c99HrXe9MLOUAJrhYFQAmS8DBVmlOKJLDq5jQVOJ8Xazm+fMf9t6EKiw44lPk0yptYl3Mb9nxIW51bNSXA6SDeXz1VCkIqgDEIpd6r+rcrb3zXuWm5maT1+5u795UqsHZNbktlnQ6jW2+i3UW8D6pa/656HwT1Q3sOfNfwBNXDw8PjA+CQPNXmefVj3TUe11x3gVpZmFqZGyHNhsurO38UK6g9fqHVjYfq5kcRs+YzScgrs6Yq1LelgIELN66HpLp2C6kgDfD0KEGYhLhO5VrNyOa9H41jDAKb0zlNBUBQlYpxv/Rd/u04DtbJXKlgpIXC21mOL056ayTZwV1Hao2XV7tL7tQRMIqvTvtQUuHtogClBPNcYpoVCNgqJzHkFGK5u95qWqhORa6eL6u0LflzyGKwOSecU4gDF0vbHqNCavzyYoGLRYFUakScoB8GlelQG0GFsRsvLiyzqz9u3kjIwVk3CexqXiE1pNpd0qYZer1rfJOI4zefjNdyUG8KoTQCupnje1PSVIVFl7WXu/ri5tSNcSHfP5Hdp3auUBq//2qKTCicDEI8OeofdI+AUUQ70i82YGA3vcoNoYeTZKPd9e/FQ9uzQQb35BX1c5PgZrneLry7fm5dzXufZJJTcqtn/1NE3YH7rm/8fGr41XqSPDw8PD4iduWp3vQaNpTUYJQEa7lWSmsIaXNTRVnL0ZWxkcpAye1ExIWjUQALocDpighSSkCoDeFyhEvqzQWbI6v18gp1RVRIhXkukeYKxBiEZxQBJQAheHFua0aC0LV7u4VhwGze4bu5qcifW7xXjrrGIOSrhbglQMAo4Xg7yzDNCiRhdw6QI0ycUcwygWUhK0W5foxblNT7eW+cgDKKk36EZSExScK1fCNjulXlXK4IXBKyTkWursiYRujsflmoNw8T3mfHfpFLvLxOMYgCS3SEBsW6UrNBVMrx6LcYaTnU5/iKida8zG0QSuMX5xkCTqGUwbOT/lbHXNcOpXeH+AJWRX0fi3M3Hm05vvvOb/N6D8cxYs4wSraXN1kzC2vUd66O2UEy62Subt5kc58XmOf12rntdX7zUjU0W8b+vWpHBDgbtm8EWPfVa2gNMEZw3A87LtKO25DB+kbJwxvUyXTz+XaaY9IL1lzbP1WV8y5phoW0mymcEcR8e5ms+neex37wBNXDw8PjE0PAKE4HEZzdivulxyjF23kBKRQUgF9/MEY/2v+6VoHkGMYB/vD1FItCQyoNEFvT9dEkwSwTmCShJcSFWTtXKI1Bo65rs93SAGmuEEe8Mg4aJwHmmYSrGbksJJQyGyFoy8LWcjUwkJrg4dguKh3xDZg1l6rnkQaMglKbZ+byUh3BbsKNpdAGL64WQKkC1+vBpmVZHV6S6qNeWC0ELflWSEKbF9tmhtGlKl/lVv22ea3dilyd0IW9Gvndf5pvj46b2Q2OJd7NC7ybC9wbRXhybNUotyAWSuOnb+ZrRMWNx+OJXeAVtRxn91xpYypi7kjQIbmzQmlMM2HD3Uui/YP7w62GZfV5mSTdxOS2kXYGK/LZfD52LWj3uXXA6Ea95TbIMs+7F/JWk6FCavzsfLEWXVC/fyE1fvFuDqFsiPv90Sr6QCiNeb477zFgFKC3Uw0PBacUAWPW0I6tb5I4NTkJeZVLfQgMzK3IoDs3OJCcOnMmGIOg5hB9m3Dx7fe7S9Tx46DK5yft74tDVij86OU1TJlesu27pA032Zj6HOAJqoeHh8cnhq7wYUKAh6MYL6cpjNZ4eZ2iH5cL0z3W8m4xNM0ErjKJQUjxalrgwSjEu0WOUVLmezZVlZryIpXGFyeD1nC+gFE8GEXICwlGDaS2fTkbxlUY2jwXCDjDwzLUt05sfnmZ4nJeII44hg0fExeid9QP8PRkFRYYBgyPJz0sheysPdscg9NBCGM0+mGwFtpnQ4UlLheiChWW7ufGYFQuPPoh35qH2FSVYQxiTtbCYLsUuTqBORvEtsyPww3WMe9zXWnDCdVaeGqzD/aYdaJSD4FuHluFMxsDY6yCz90zcUDurNscmS4FBkkAxsjWnL5KSS+jBhaFgHuJbrMY35dQHkJo3DO6rWzFPovckDFEAStDyjfV7Fxs1ulttuN6KRCH3BqbqXXH6n3yHgNG8XBkS2bdRDW8CbapnPV2RweG0++LZl7++0JbdELXU3BINZy6E3WlmMv3l7f7qcB9B6WLHCHrTgWZ5xJGb743v5q0c394gurh4eHxCaIt9DdgFIOIg2iC+4N45yK87ZqPj3q4Whb4wdkAhAAXy2sQkCrHs62oeD3slIBgkUu8mWV4N8+rXFNXD/I6lYg5xctZgQcjirezHOMkxFE/RD/ieHG1rAiIg4ENLeQEGPcCzDIFFawfczYM0Qs44mCzrwGnSMCtCrcNZdd6IUc/DKAN1sJwYQyGcYDLRbEWKuwWgta3iWBZqNIps90YaK1t5bmZNHsblrh7hpxiUWz+fNeCt/7zfR1F6+giO9vCU5vH7GPQUn+ucqEwTCyRTQKGoJE7W5/aNgIZMIqnRwmIMeCcrIy3OuAWn2+WGmcLYcMk+x2K3kdaabY9vnUST8jtcgADZqMkFrnEw/EmOdw1dwGjMM5ciq7//BBlOGC2pvHHzOnralOdvA7jYK0u8SHoqrrT5vL7vkhqfcwfT3pY5BLFDXOZ20JUc6HwoxfX6EcMUpqt5Y7cTz6E0vpdKozlltXWY5rvDWcE3sR3NzxB9fDw8PhMEHKKZ6V6yNjuRXjXNSa90DrfFhJXS1GtrsZJ0HpO/RdwL7QqotEGV8sC81RCSYUfPhjZnNiQYZJwXCysigasQqPC0h22/uvekamYMwSc2VDFQFWlIJbljrRSBmFCEfFNlYOQ/RYxBKQKyXt8lCCXq9xXdyGp1kOFnari8vwCTnC9FK0mSG0tcOdOovXF6T6qSluf1vIIW3L9mj+/CUHtwj75dq6/xZ5EBTXC45RWTsmNlqS9kOOrs8FG3dW60Un93qeDEMOQ4IuTHjgnWw2c2tA2h4W0IaN1xdiUOZ83QSFXJD67YcmQOmlw6n0bOdw1v/WfxwFby0F11/4YIbvvmwNVYbZsvS7x+0BzE6brGWvWz90Xa5tZ+c3amBaWiLrvjONeCM6sa7bWBsbY780bct/vFLd5VITS4JRgGMfg5SbmPu/N+3Lx/dzhCaqHh4fHZ4RBzPGD+8NbOQvWldTfeDjEKA7XcqAq996aQVB9px4Acqnx4jJFGHC8mec4ntsQ4SRgdhefkjXzIwehdEVegJVbccSZJQxRAG0Milre59t5gaOedRc+GzbCXlEu6/ZYiRCyWtyGjIFRm9/qlINti/OAUQxijkwqXKcS07SANOuleroQMIqIrxSnOol0zsZtebN159VcGlBC1ha8jiA3Cf/az6UGpetmNl19XKkg3WO4DwlxCtku1Mc84gyso37vIXDvRFWaSSj87otrRJyCgCCJVjm/vZAjKqMQEmxxwN17owB4frkEBcAZPagmqQsnN1h/X+ok3uVe31Qlq6PLnXSfTYWA2XrON1Ubb4r3qc4dcqXb3LW5CfNRCPyBLXZpCM0QVdf2ZS4RcYqP0PQ7levaFkK97dj3Nbfu3bz9t+HdhieoHh4eHp8ZtrkHOzKzq4yEU1IfjntrZkxSm50Khd0xTmyerNZ4M81xPs9RKINffzACIajufdQL15Sst7O8MsAZJ7xaGCllb9qPuK3FWkgQY3A8CPF2miMJuQ0xbvmtTchuxc2NC6PEmpiW+aCvpvkayWiGUDZv55S35xdLAAY/fjkrHUIZenuqlVX+I6N4cWWdjZMw2FpHlBjAENgyPYTYfMGOMMx6uBmANQL9ocINbwq3sKtvHuyay0OWsItCIhMK5/McvCQIX50Nqvu62o6ng6hSPZrPf1fobduifppadZ2xblOVtmu9vM7ACYE0ZmsN34DfnqAWSuHHL5foBexgIu1xGHapzncBXaHdru3aGAxCjj98DxtInxLqc+cM3j40cqnw6jrFNJUYxhy9qN3w73OAJ6geHh4evyKoO5N+e7ncufBsmjHlUkG2hCatqUVleYpJP8T37w0wTSUCynDSj8ocVksy+7kN5Y34evjpMOZIhXXLBbAyKKmF7roaq4QSW9amVGPrjsYOxpidiz7Xfgqg0LYszSDimGYChKyXu3H5qLvCPW3oLMGlFva4UvVty+Ftwi0IZ5k15hnFYec9HRHqRQEWuQCASq1z16oTqDqhAYCfv1tAlu6ep4NwZ41WoJ0AuvDEQ8NgD8X7XgJHnK05S8fheiivq+14aFiem0OnpNc/ayouBttJdSGtOVEv5pimohE2vnKJ3TY2hwhPLgw5rrm/eoJ6M1Tj3pWEiv1U5+9SN2wLUXVw7d7lMnyXlM99cYih2cd6P2xEjkYUMORSI+Cr74LPrSarJ6geHh4evwIQSmOaCjAApwnZe+G5Fg7ZUUfV5Zb2Qw5VKo/9iOPL0wEWuUQ/4lVZkVU+JzZWAAGjoLWdeudkK5TGMAqgjAEhgND2F/HpwCpbrn1du9j1MNtmOHHl0msMBkmAN9MMBgb9yDoLC6U3apbWVcazwWYdH0dEhFRVyQwQWinRu+BIpGuzU5S7cjptmN1qfN2frnxE9/PrtMDbaYY44JhnGUJGIPVmeZ9dEErjd769BgWggTuhvO6LkK+cpaOAoFlmpAnrQrye69mVW+yUdM4IzudFa0mdfeDmeJG3q+LvE4TUnymFfoQyZ9bm270PuHfOXa/N8ftzxqEhtu6Z68oN3nbeIRtG2whOc27cnAmlwej7y2P/VcBtuLqLJkkLiThYr/f9s7dzcErAKPksoh48QfXw8PD4zFFIjRdXKeaZwCKXyBRa1cabImDWWVUZs3ZdS25DxAHDq2m6tvBxhkR1OMUWZH1BZHMWCVQZmvzyKkUmFCgleDhOqrDbVnIqNV5P87W6m3WiSYxBoW27F7kC5xQwwLJQCDjF/VKNdO1ZFhIUQLSlnmOdYPYihotFgTgA3k5zHA/2q+0YMIpxElYEvY1cXyxyLAuJ00EIQlw9x0NdZgmkUrhcCkzK8NNxL+isFdsGR/CjHcrroagvsKsSKuR2C7wmnNtyP+KQxoZId7XdPTPzXCAXGieDaGc/nZHWrpI6Ds13QigNY8xauz40iXPPr1Qab+cFpukMJ4MID8bJra9d3+CZZzYy4uX1sjRjs++nm+tt0/xe803vsLjnxqsfMiQBayUebYS36Q58r1aXqysk/ZuLBWapxCjheHrc73xGU6Hwe69mSAKGVCg8OUoQ3SEy9CGipO/KMxLyVT3yURxUzslCacwygUEcgNLD3PvvKjxB9fDw8PjMYV1wKWgS4qgXYhHcboe1+bs6YO11WR2cO28dpCPkre3YZl8oIaVrqdrpWmrVR5vPebnIETKCk0FUkh+FmDNAW7LRD3lFgEJGoVrCgwNmS7Ms11RGtepTDdepRFpIzFKF414EXatzui/qO+Tu33YxucTbaQaA4N4owrNjmyvslKh6TcwuxaYXctwbRZhlBY4GYRWGvUvJcuSgUp/Lzh+qvHZeH2bDKOpsECKpKUgbeaBYtSkTNpe4LRy6uXBz5HqUhKuw8g64Y8uI22qsusiSC3/cNS5Vbq3ZJKd1kvHsuNdy8tYm74+WaAZSNi4unbVv4hDcRD03VxuDZSE3XK+31XPdB3eES6yhbUNuH7jx0qXR8yF5y9tq1rYdn5abcpnYfE/qyMp6uPY73Bz8XHzoOsK3wU2bZsoyTx8DAbO/IwNOq5SbKsoiE4j32Dj7FOAJqoeHh8dnDkc4OLPK6SAk7313dZsxU9uvbak0UqGQBAwJukPEHKmgxP66cov+i4WtsbprQREwCqUNfvZmhsulwGUqsCwUTgYh3s4KBIRCGI2H4wT9iKOQ1im1H3GkQlU5YXU179EkwVVaIGAUUcCAVLS229VNnWcCb2YpjvuHLxzaHH3d+MUBB2AglMKykLhKZUVmvmgjM41+BIziwThGL2RIytzGfYhUs10gpGrX+wrT7DKKejxJELD2hWCbc26d4LufUUpwNogR8lUN233Idf3Y6twtcM/K4obhq02SUUiFkH+8cMq2nNlUrIf5F1JDG7OxMbXtvcyEgtA2bL8X8qp26ocOX/4U0ZW3fMh5blwL2U0k3YaEvc/26AlOy2vn+8/ZXdw0+JxQj3p49JEMmz40PEH18PDw+MzRNDv6xQ1zyd7XDrELP0sLiauFwA/vDzGIN38d1UnFNBU4GUQYJwHuj2K8nWXgjODtLKsYcJszccAp7g9j/OLdAkcUiDlFWgjMUoqjHsdxL8I02ySYddfYJvH5wdmgU+VtqopCajBKwCiF1VEOQxtR44yBAMiEBEAwcvVpa2RGal3es7sfp4MQ5/MCMAaM0b1Deys1rXY/AFuV70PhFthtRlF8C0HtMnmq/8wp745k7qrdCtghqx87iDicn822xbdTO24zBu+DvN2EIHC27lLaLPMjlMZP38wQcVq5/W6DUBrn8wKMEkgNnA0jDGK+dfw/hrnOTZTNj4WA3cwpts3YaFsdVLeZcp0JTJJw4z71ja1BZOdMat2dVtCBjzHSdyUc92PDRc58DuQU8ATVw8PD41cC2xTOQyCUxjKXtwrDE0pDaYN5LjHPFSJO8YP7w432LQuJtBC4P0qQ1sJ5GSWIA4Yk5CiUxptphiRglYNwExFnyITG5byAMMBp3xaav1xKDKMQQekQ3EUf9w2XE9KsEcBxYsnQvUGCIKCV0+0+NUAdAkYxjAO8mdlwXkfUTgdxlR/rCNBVGVLsyEzTELTZj7RQ1b+xh8onlEYu1cqco1F/cxeqEFu2uw5ql1FUZ+6m2U7o6j9r1pvcV91sqs/5FkXKYZ89HUeQmgvrNvIsG5O6z1q8/s62EQ9r+tQdpuwITtNhVpRREISQqmzOrna0hVPvM/6HGv4AK9Ofj12PtY73cef6HBxy365x7WpTUKZXtD0j9e81p7BGnEHfUTbonpf3uWl2KO7o0Hwy8ATVw8PDw2MvKGUqw45FLnHS4mC7D6ypEoUxBJMeB2Obpg5ObblaCMAA/ThYmS/VyUbIcTKIcNQLkYr2nFTGSOmgmuBqmSMKGI77MTgtcNQPwN1CjqwWb3Wy2hou13IfoTQCSsAZwzQt8PramsDMC4FYsbVSOU1IbVqdTJ2yQSnWiFqb0tkkM45Amdq16v1IQoZFofZS6ITSeD3NoLUNkb0/ivdSHuvnu0UuIQQP9nD6DVi7UVTXonibGlr/WcTZwZs1TdOZL09WGyEfciF625DplRkYsMjlWu65+9k7ap1Bz0YRIhyYH02INQNrCT9tEvqbKsJNgtQk6W0opMbX7+ZgIBDaYBB/t/Uiu3Lu72L5lWaLDs1n/ZBoG67mZ/XnhTOxVmvb49OBJ6geHh4eHnuBM4JBxHDcjzZKbRyCkFN8cTIAAQFjBCHbdKidpgKAwQ8fDKE1MIhXC+AoWJGNs4EN902F6nQmDhjFKA6QCoVJPwJBWTqDM0x6YUXkutSuJvEJeTtBDTnFOAlwPrf5sZwR3B/HGGQMIASTXghOSesC8DIzOJ/lG7mTq+t2O/rW2+k+b1OD2wjcwzGt6qBuIxhCaRi9HiJ7E6dfe/5hTr/r/cJWWWoboXM/21UXtw1ti3QXQn0T3MRU5SZUxrU7DjkyuQptrv+MMQKldpvdmNIQZ/35aQ8/7coHXnv+9qmdScjG2Hc1sz4+QmlcLwVGSVCZbt31/NY7yFUBbG5scWpJ/11F/XlxKvq2yIubor65UD6qe55383v+KsETVA8PDw+PvRAwiphb9dSRQanba6O2of77exBz/OD+cI30ASulSkgFIa1jbxxSJIF1EnWLALdAHsQcIe92EDawBO/JcQ+XywIA1hbYIaeY5xLLQqKQrApXJWQ9N20fJateJgewCxilDcKAIQ5YZx1JoTS0QWvuZB03VdPqC6k2ZTHkdKsK4fJVhTZYLjKEW5TgLryvfEripKgNF99NNMnUbdDW/lUO6s1WnG7xLJTN5fsQqLd7EAUbc+9+FlVh7u0wxmyoyI50tr132/KBm+gQF8v7bo79rqk0xth3jRBMU4FhHGyd/3ZVbt+qxZ8P4ejaMGnmswacQhSqUxVuQ32MPvR41Z+Xto23ffG5zOunCk9QPTw8PDz2QtNsSRuz4ep56PXaFra9gCHsBdDa4KgXYtILschlpVo2F1Jd17ELf1IdEzBaLbAZJbg3iiGkqUq2xJxh1AvwtOGAuy/RIVjlcQHAUc/mizJCcJ0JdC15raqHD+pkuq0PbSUw2giGASCVgTJqTVndZ2ycerbcUcrl0LZvO6fL0beOfcnlxiKd7ZmD2kFyCqnx8/MFAkZwuRR4MI4/iIFMXbU87kVr70n9Z8Mo2MrHcqFxnRYQSmEUhztJZxuhb85JEuznSNxUXp+3RCE0UZ+vk350q++pNrjNBdevtvD8LnzXxOfQsGK3SeD61nb2IVcs5Gq83ifc4xvQ1dy35dR6fBrwBNXDw8PDY2/UyWD2nhd9gHM9ZTCwIbKTMn9omwNlE/WF8DyTGMYBCMo8V0pxNorw8iq1BipGVyVb+hGFUOt5rG1EZ1/Ux+raOQW3qA4BoziKCU6HUTuB3EIcOslb7ZxiT7LWvKbUpiIYAABj7GepxHOyxJPjHs7nBYRUkAZ4epTsNCW5LkvhXKdyZztcW+pt7yqf03beNgXPEYxDTF46Cciel6jP1bJQmGUCk154o1qSh6BL5az/LGAUQneYfymNr98tkAplSzOVZUb22ZCoP5vLQrbnMu6hxN1EBa/3+30S1EJqvFtk0BrQxmCWS2i937v1qw4hNb6dppjnAiAE94bxQQRyX3Jbf67rmwn71pAVSld1sQH4OjnfATxB9fDw8PD4oDgk1a6p0t5k97tOTnS5+KcudJeWxJo4W36GB6MYL65SaG0qR18AgHl/BiFSaRRlLlRbOCen5GDHyX1VwkJuJ2v1UL36NQ1QlZ4BAGlypLlCHFljq7RQkFJhnkukuQIxBl+dDToXj/WxnKYFpqnNEdxFlpttb3MAbqpC20KKUyHx5joFpQSUEvSjPUrrbFmg7uukW5+r7532yzI6B9SS3ONG+6hj9dDife4rlMYsE0hCjrNBuHc5oiapjDjrnJN6e27jEP4xIJTGLFVgjJSbNhr9MGh9t+6iCdJtcZsuCaUxz8Xa+7ztO75OLgHg26ul9SfYk9wKpfHz8zm0MYg521kKqR7GLqTG2XD/Dcl9cZfLGt0leILq4eHh4XEjfKi1121L4tTJiSuJorRBwKwjblLmhDJKEAUUX54OqoXIorE7766VFQpCr0xi6nCfjeIAvCVqsZAaL6cZjDYglODB6P2oLNsIn9sUWBYS7xY5rpYFhNYI2Gb+KOm4ZrP0zNOjBKQ01QkYQxIyvFtgjbTuE/Y5TQu8nRcAAa5SgdNB2EnOm0Qz5Jvlc7rOa3P0tWrgEpezHHHE8WgcI+Qf0ECnHNwm0QawpsYHjO4kM0LZMj83zkWGzSP95mKBq4WAIThYTQ84wzgJD743YCMi2kySmuT90Tg+qBRTGw75bjr0ayxgFMJoFIXBMObgim4Nz38/1aPvEG7wve9I2SG56IXU+NnbOQJGQEuTOQOzN7kFVoZ7Scir+s3bNkwLtSq9VdV79vhO4Amqh4eHh8dnhTo5GcWBDfErbIhfQCn6EceyUNDGVHmjIbeL7lWe6/q1UiFxPitwvRSQylREsL7jrrTBs+P+RnuE0oDGmoOt+3wfstGVx+gWe7NUVIRvUSg8HMdIwLAsJP7OLy5xOc8hDPCDsz5+cD9pCSFeSajbFpC9kOOrs8Fau58eJ5UTbBv5bZsXq4AAScDxzbsFpFLgjKEfcvQj3npOM/dzHxWibWyF0uAESCKG2bLANGIYxB9+KdQ2rrLcNKkvgruI1b5q+S4IpZEJjThkO/NIu9R0gtVGzk3DbtdgsEbei1IlN7hZZOVN9832VZUNDMaxJTDPjvqY5xKzXNx442DfdhWynZAdulF4231F9+7dhHhztumI3oVFLm0YfD+s7kVAkBZi76iD+nvXL0shyY5Q9ubxofuO7yCpa8ZPO1vicSg8QfXw8PDw+KAwZais3LLI2nmNA46tq5xuYde1a76t1Ee9fqjUFJwScEaxzBU4Ixgn4ZoyRkz7jnvAKCi1JkiEWpXx+cWyInWH5LU2r/twHGOeCxhi1sxrACAtFJTUGCYBcqFhyjzcbYYuXcpj/ee7SOs2U6OAUYySAIsyBxMgSAKOF1cpQkpwMohwOow67ymVrRdLyfryZd/nwyp3DLHSuCIEEaM4nxd4ON5OLm4bltcc10PzIg9xxd3VDgKrrNcX+W39K+RKTUItsuBFmb9925xLt8AP+ftxeL4NmhsAx72wVcUVSuPVdWrD5gkBjlze/Pbl9E1V1LV2GazVsf2ucNvImX2JPGfWiXmeSkx6AfoRx0OaVIZ3naVjGu7rzVJIsugmqHVzrbNBDBB0EtSb4jOM+v4g8ATVw8PDw+PGEEpDa4MkZJ0LBrfICimFMctbLbKcmtilKtTL1LydF3gySZAWCieDddKzi3A0VcuAUQht8OJqgZAxCL2qAyq1wcUiw4PRpjoJlGVujnpYFBKUEHxzucTFvEAccQzj24WRBczWSJ1lam2BTwAkIUMQULyb5dCEIKDAu3lRleBw5ML1tE4s982HJSAbIbS7lD63aHRE2RI1UqlmXeMhlMbreYFcKlwvRWUqdeh4WRWXgXOKcT/E1aK4MeFz7eoi5IfkX297ItsU2G337ULIbZj7VboquQQAUfkO1Tdsuu5p9iiJtG8HXY7h6SCs7vm+Ceo+hGDfXHOhNITUt85J3xey1i73bnzXBLUoN7mSgB1cy/cQOLJIAJyV+abamINz9d0zte+41Y9/3+S0DZ9dCPh7gieoHh4eHh43giODIaPIhOoknlIbHCUBBrENrb3tImutHmNDVRBK4ygJIDTD22mOfrQ9l2jfxUHAKE4HIaRSeHbUx9t5Xl1zn4C3kFMYcGRC4awXghOCN9cZesHNFuR1cpIErFX17IUcv/XFMa6WBQJGwRnB+TwHCIFzK3b5qu8zhHSb0ldv9zixuaeOqAqlQQBwat2U265tYMmRkPub/DRRV3Hn6e1Uu33HrXncKA7WfiaUxiDqXpI1FVgAG/fd11woaJRcAiH48qS3QTa61HQXDXBbtbOQCn/werZ17OqurYfc6xCRyhizRsaFtrm6bdEebaQ9k+pGmwX7IOAuB34VovpdQiiNt7McUumqVBej3eWC3LiEjN4orzhg1jTrY5Fyr27eHXiC6uHh4eFxI2hjAGMwSQKo0i23q5QFowTLQtmczxsSn2Uh0Q85CAGIMYhbVAV3L2UIjvqBPRYuTFdVyqmQ1lVXqABRywKrKQyIsublJImgywMcqTrphxhEHLncNFBykNqFphJEAcMRAKENnhy1q65b29IgO0/La9Sv48hGL+SIy3qTy0Li7awAtAEowcNxsnZNGIOjfojLmqK4a+FddwAGtuewdpE5R1RdGF5XfV1HptNCgt+SCDjyZYwB2YNo1ReuQmkoraFrLs+OaHeR5iZxL+QqBL3uGjrp7WdA1LYRcIj7bev5LQ5fzXkPmFVg5/nNclDr959mAtvqqhZS4w9ezyCVhtBmzUyrjUjchlzUVf138wJ/+GaGSRLi2Um/9biiFqo9y0Xrc13un23du9rVZnc/qTQeTd5PeO9tXXhtxAxHLiwxjzvq2dY3EgkheDCOO4+9K/D89O7AE1QPDw8PjxuhH3Ec9UMoZzbUsVi9bemYQmq8mWbIhIJUGg/HPRwPQrsebNy3fq/Hkx5IWU5GG4NpJqC0BqdWPTLGwBiDJ0f9rW2qqwZJyHBU1matQsGYNe7pGoNCary6SpEKBUoJ/sj9EYwxiEJWXX8fOLLYJBfWbGc99LmLrJwNQgSMrSmULkw34syupWvke5c62Fx7tyl9dYW03u66MlYPq+uqrxswiseTBNNMbIT53XTRrQ2g9f7qlxsTTgiksaTJEnLVqii68QkYBaHrxF1Vypt15i2k3eTpyn2sz8Xqvu1KZtvGgtmxkbArmqCu9O4Ks2wLoXefuL64MHzbnk11MJf2feeM4sWVNdNKwgByHxvnG8CNlTEG81zi3dzWLh711kshBTU1sIrOOCA/+KDWm5upiE1H6DaH6Pozsm1zw3kIVN9T5SYRpds3durjkn2EcOhtEEpjke+un1ofp/ozvCslxJ63XzzOoU9v3TfgVwmeoHp4eHh43Aghp3h23N+LeN6mdIxQGr2QYdKzpkSEAE+Ouu/bdq9palWOgBJcLURZaoYCpXFQ8/hm6ZU4oBgOoyrsr1C0utcu8m3bbHMs55mAUBpJwHA+LyrC0bboXhYSaaEQNchiKhSU1htlY6yBiyXey1yhFzFQQsDoKk90FAdgjGCe18h0SeIfHdkSPFFZmmdZyIPrlgKrhf42UiW0ac2H3VVqJeS0yv3dZ8HbpQA3SdLZ0BL3fcquwBgEAYOslYtpKrHVfSmpxuThOEYhXYkVgkzaha1TtYcJx1E/2HrfZpmabX1rbixY1VZClG1onq+2EL/6NWepxPEgvJV6CmMwKsvVTJKw9bnilJa1YgUoIRjFYaleb7/+bZVUabaXThJKVwpqvZ0f0uSpq0uFtMTrJgp6/Rn54rhXlf1pvoNrKRWE4P4ogtIGEbelurpQ3wTZJ0rhQ8H1dZYJxJzhqL+KUmgSz/q/CqmRlikp0UcKMa7XfQ05xdWiwO+9nFaGevXUgM89HNkTVA8PDw+PG+O2NUv3QcAoKCFVjqL75X3wfY3BUT9CJhSUsoRiV8ixIxpS2by0tuN3tSVgFAYG37xbACB4O8tw0o/WCEdz0b0sJH7n+TWgDV5PU9wf2XIuIWd4cZVilDBIDTwch2uhuMPYqluvrlN8czFHHDDEAcfT414VnmkADGNV9aNeUqcfccxzWf27WbfUlbFZnduI8W2MXRepEkrjeik2VKd9F10bRLblvDoJlcbWcXXKX0U0GQPKci8ow9Tbnoe6o3MbGaGEtCqE5zTH6SiqSDWnm9d2qnYStm9urJSr9ft2Kb5tih4AvL7OkEuFkFOcDKKDQnTr11Sqe5x2oXp/yr4EnHVuejiTnGUhcdQLK+dcd2jRyENe5hLKWOK0a6OjjvqRAaNr9X7DHeT/pB+1kv2PgUJq/OjbK7uxUJLMvWA2n5FtpVfa3uNemWqxbZjrjrg3zUG9CZptcu1XGtBlLetdEErj914t13K0HdxzR2u5F4XUyOXt6im7GsVGG3BGcTaM8QevZxuGesFHIsvfNTxB9fDw8PC407htiDAAxAHD6cDu/IeM4mwSV+G/9es51TLmbG0xGgc2tLcf8YPvH3KKR+MEF4sco9iWr6AEa4TDwKyFvKaFQsgo+j1mc/CUBqUErKwf+vioh+ulWLtPwChkGQ72/GKB17McgyhAEjGcDEKMk7AyyNknTNItvF3d0q5cwW3nN0mVW/ALpXGdyg2i19WqZujyPvRDKA0hFea5RJorKKnw+LhXkUUQAiEVQAm0MaBkN7loC2F2DtWFtm60aaGQFgKZ0IAhyKTCV2cDS5waLbdqKivJchliWmv/hgIN7CRBbeMulEYh1Y3L1NSv6RT2m+IQQhcwm6OcjBiu0gKUEDwvSzW9nqaYLgX6MUdWKPtME4LHk6TzevugXjrp8aSHy2VR/ayL/L8PYlootVLY97iWVZN3Ow+34ZAQ7+axbZssbTC1Z3r14d5N7Ljm7mPqIbHV/cv2x4Hd0Mvl9tqmbfPMqH2Pvn43xyJTGMTMlmAC8LO381XaB7+58d3lokAScjBWloKCrdmc5vLGhnqfKjxB9fDw8PC487itUrsPyZ1nK9XyzTTDvVFcLVIiRm7VhkEcIAmDSgXuRbxapAPAf1YA57O8CslMQoZByEriRDBKAkScIQlsOR+nmtTDYgNGcTzpYZ5L3B8lmOcaYUCgOhaujvTxMkzPCQJugQfYxbpzvG0LYexa1Lprb5CqUnDtIim5UEiFWiNQdaK2zBXGvWCrc6hDwCgIIUhzBc4pLlIBdp0iCQM8HMeVOjfuBeiHfKvxUl2Rq7fXhUH3Y4bFVNj6tpTg1XWOiNmwaVHmuEY1EyJ3ufo4nA4iq9SrlYFSm3K1T79d39bGglo1XN6AJNTbOYyDreHAtoPr/6xvMHDWrf6uXaJ2DRfa7e7ryFkcchRCY1FITHpRK1G7SQ1b175dLr6cbobnu76SkIPu8Zy6c1qNlna08aahxftsEjil0MBsHKsrB6i7hULqtTq9z8rIEdf++8MYBugkqKi9l82xdaZo88xGIciaGpsKm4POGXbnIHew7Po9+yFDL7SboYOIIw45nhwlnaVvmht4nwM8QfXw8PDw+JXALoK5LCQoCEb9AKYkFSAECac7DUH2ubdT11xNP7fYWxYS2ljSuizzyXohx5/44hjLQiLiDJlUoITgqG9V3Fkm1sJ06/eZsBCnQxvKLPU60QNWjr7PL5Y2HzWTOOqHSMDKMLMl3k4zAAT3RhGeHvc6F7NtZRC7FtuANWRyhKF5LaE0fvp2bk2SaufViZo7Lmo4zhZKbZQjCRjFs+Ne6QJrw7RdHqPry3VqCWZaKIySYKWu7gm3qFwWNoyYM5sr+aBUvEdJgGm23eCkToZkzbzqNgQEQNW361Ti4TjGvWGEr88XZbmhAg/HLXVbd/TVtTMt2o2s2rDtediGbcTSKn4EaSHQCxlCzj5oDmj9vvV3IeQUWY3s1Pt6zQSeHPc2aiq3oU2x29WPegjtTRTcbecU0iqFShsYg+rdAG5G+D8WhGqv01t/djvJKbD23dQcWxfC65zEh3EtNL1GLHfNQ1fppPp8Pi4dmx9Okp1llurPHCGk+v3yqcMTVA8PDw8PD1h1apJwKG3DuVxu3FEv7FRd90UhdWWK9HaWIWCrMMSAUQxDAinN2gJ7EHMMYqsaZfMVIQi5zRV1yk19uUgIQcgIvjwd4GwYV6TveilwndoyPYDGLy9TXJa5TRFjlRIglIZSGnHAARi4eqm9kCPcoei486fp9vIh286b5WLjvHVlYZNACmVdnp2qXCdA/ciGay4LiXdBAalWY+xIAWcUr65SLAtZqav7LvbdQjagBMOY43xeIC0kkijAVyd9JCHDZVmHtp6u68axPp5NYeWQUNjqGrUxCag1VnHlbzgliAP2Ydxmt+Am5AvYHs5pxyZBFFCcDiIsC4XrtCjb3U2h6psTrg3b7tOmdu0iC66vrlYvp3Rrrra75q7NCGfEtW9bOvu0x8zWc8QpaVcFtz27+6JpCrQL9ba7c+tqvovS6BrHXc1sksfmMxIwm8e/LCRO+lFVDqtOLOsh4U0IpfHNRXf94qZyHzC6M2qi/sw5t2RPUD08PDw8PD4TDOKVatkLOa7S4qDF0zYIpTGJOZKIVwsrh4BRnCRWrVRl3tZtYdXiEItc4rQfQgN4N89xnRYYJyEmiV3MpLmELstoOAOb+6MYP30zR6FMq4FNfZEf15TMujnQojJaWlcU2tbp7rw0F3g1K/BgpJGEq/vWidpRL9xQQNpy8YLGos/VWq1/5ho0ywRQc4ndthhvIzh2EckgtME4sffohRz9iCMJWWU6tQ+aC+ibEBB3Xsgo4pBhKazSzkrH5EOUxjZatV8xjfW23EQJdmQBAHiZd1oZ0xgg4KQKg0wLVSnG00xikmzWk72pknsIXF+zWq3efcjbTTYjDsGhBHJtUyhqbAq9p50LoTR+8maGRS5xMgh3lvtqnvufP7/COObQxn53u1I8jxqqY/27dts4CLUqJ7bt+eC09tyVBLVJLLfdoy2H+Taoz9V36Zb8vuEJqoeHh4eHRwmnWq6VVjDA46PerUhqwGzu3boT8EoVdYueTB4WOimURhywNUfJtvtepQJv5wWSwPYt5qzKbXp23KtidUNO8eXpAL2Q4ToTreS0vsiPT9YJqisfMog5eE2FdmhrpTMzyqQGMwa50Hh6vF7GpBmiV1dSthGgZu3P+oLVkYJlIbHIZBXSDaC17uA2giOVWfuZczntQlOZE8qWC3lfNT4DZvNf3ZgFzDphd5Gg912youmMeyj5WhYSf3CxhIHB5VLie6d9FErj/ijevJdpV5GauKmSuwvN/OSH4xhSa/QCS+yKLSGldRxKTLtCRd8H6uGmkyRszXvchV3PlFAay9wad2mNg5Q/N5eM2hz7ev7lPqpj1zX1lo2u94VMqI0SYbdB/f06tF7uXYYnqB4eHh4eHg04xTMMGFRphvE+TZoCdqgOtY46gaaU4P6ofbff3ZeQJVIRYtyzdfSOeitH317EsSzWQ4hHSYiX0xwwqsphDDndXOTrlapVJ4rDOEAUrJNBoL0sTcBWtScHvRD9uNtYpi2fbxsB2qX+OXX1bBDjqgwR7apPu43g7KOMbDOUcnNpy0tEW0NI9yV6zlioruB+CDKzDw65r1CrEHRQAqGtKU0z8qC5+VCpSNQ6zeZYn4ObKLlrJKuFcLVxsGpToMPttk5ob7ovUEiNn5/PS4ftzVDRLthoAw1ttpfXAtY3hW5CUHchYBSEYs1ddxfqobYu93tzs6V7VHflNW8LD94XQtmNA2KAST+s7imUTfNglKyVCNuGtr5UH7Vsvt3ut8rdgieoHh4eHh4eDTjlUWmzs1bqvqibNJmy5uZNd+nrhMgR6K4FSsgpRnGAt/MCaaHQCxn6Ed+66GSUYBAxKI2KcDklrr7ID9mqZE2dKI7iAD87X1REb5xwSGUwToLWeogn/QBSKcQB26osVKpkS76mU0eb4X1NlamN5MUBQ0/xypW3WZ/WmJorcMsC9lDyU29+fS7zhoMxGsftE6JaKeucAbVI1125h838RvshNsa69bgd6CLWbZ8LpcGJLa8xWwoYoKyB2v0e8rqKVL5ni0YqYOdGxof0/HmP4bDzzJb4CTnFIpd4PU3XwtL3ucbL6wycEEhjbhTifMgGyS4EzIbjZkLhfmns06xtuw3jhKMfcgyiYO/Ik33ymnO5SXrXrrHl+rlQlckcpxQ/vD+wbvBYjzBxrtwe3fAE1cPDw8PDo4H3UXt1G0QjJPTQ0E5HiJQyIHQ3geZlyF7IKCa9sLU/deIRMJvDeJEVa4RrY5HPKWSx7jxriRxAjC0DcjHP8PXbuQ0/Cwj+vofjKgSvTrrigON0EB7spOvQJHCngxCXi2LNPIkArSSPEBtWOk2FdRG2A4J6M1zfi5YF+j6Oql1GOXVyu80tep8QVVFT1rNCIwlZda5Uemspnea9cmlDKPete7ntWm1j3vW5fa4YBgDikOPBKMLZIK6crB0qIckAhVSdY98W5r0v9nkrdx3T5PO5tOHcASvzgtGe6+vgxul6aR2Lz4YxXlwtcbkQuFxI3Bt1K+51FOXz04t5aWS2/vzsY4B2SA5v2/Xa6gBTQipy+vX5HAZAyChOh9Gq7SVxdf937RDSYBAFO/u+LzgjYHQ/atRGdt17tjKZW5Wi6drEcuH930Vkw12GJ6geHh4eHh4tuG3t1W0QSiMJGAgsMdozTW2tbQ/HMRghCFxd1B0IGLVmInv0KeQUjye9ijA11cJ9wgNB7WIsUwaE2XC3RSZxMS8QjGv5oK6EzAH5dG29bRK4tAz/CzmpCB0laCV5aa6qGrjSGPz6wxFGSYDnlKzd0CnrXX3el/zp3EBpA0rYGunfJ594m0q7LCTSwjohG6xU+iaxcO1otpmQFRGhAAwBHjTCxw/VT7uIddfnbjzqtXj7EYcyBplQyKWxJaEIILRBITW+vUqhy42IR+PNPNW7Aje27xYZGOwm2D7nwFhqp7Tt+7JQeHbSxywTOBmsQkUdgWubI0eQFrm6UQjrXhskt4wKuU6tc3DAUBE7oSxx1TBQyppjuXYYrI5z2PZN2CzfukEyO07e17HYvaOZKMpn2Y6zK1HT3MQSSuPVNEPEbL1Tl3bh4Qmqh4eHh4fHwXALsULeLDc1YBT9kOFyaXPIbsKDA1a66BJAaav6dUVfukXVPjUZHaLA5jC6MNmIs0rxqaMt7C/iDI/L8L1xL8CPX9o6pZfLAoOE4eU1VgoMIdDG3GjRXEdToUhCW9eVEYJU1Ih2i4pRKAVog0k/xFUZG3pIW1qjY7fUiKUANIDHkwSstglA3Vh09M85lLpr1dsplCVqTln73lm/lQguC1k53rblL7rje3GARbaptB2KrjHfFRZdr+M6ScIVuUs1/vYvLvBwnEADoBPA6PXal7vCmevPLCOk02xoWz6j/flhYyGUNQS7XEhICShjcNQPt+aP1scpDko3akIglUYS8rVohB+/vIZUBsOEr0UiGKwiANauuwdcF3fNl9TrUSEn/WjzYlvuUb9+P2TglEIohXku8KoMZ642hxplp9QeIb5OqWSlI7TODBCt06BDprPtGQu5rb18OggRcYqH4x6k1pXzeFuIu9EGhNv3/lBV+3OGJ6geHh4eHh4H4H04/LoQ4oBnAIDrctH0oVw5t6103I+6HHbrZkzHfZvUWCkAsjvsLywJFwD85pMxhCpzzQJWEYleyKs6okJ3l9hxhKIXdhso1RUKh3uDGJwRxCFbU+eahDoJOAgjlpxSUoXGvk8QrMhfVCNTjO5/L9fmtjFfFBKFVHg0SZAKhbNh1Jo3DGCDsBLYPM44WB2/yNqJyKEpqF1j3vU50K7WFdLVrbWh7RorOcyZ7eyzybEWIlrmmPOyBM+2sNUu0ttGUglIp4GSMwSLI16RpV0E1Y3Tg5Hd0OiFFLJRBsqNURJywKwUcqE0Lhc5ZmUYaRKwrSkFXT9pvl/u/+75VRprc1bsQRrrj1I9TP7xpAdtDKaZwKtpXm26fHHSw6QXVRtnk8SmK+zKQXVzHjKCZa4gtY1WGEQBhsnNUgq6EDBrvObqx27LD66/m8meRlEO+9Sz/ZThCaqHh4eHh8cBEEpjEDEkAYM2m+UR9lVXncuqUBpSG7y4SpFLBaENTgchjmq5ovYYjbEMbhV2fCi5qBOFWSrw/GKJOGC1nE5auc/OMoFlITEua1C6cMSA2X72wxgvzBLXpfNonaj0QrbmJNxsw6tpBlOGc27UZazBfb7KUdN4dtzfGaI8TDj+2JMJFrlEErKNMhXVYnBbsmADXY7D21SofRadbeQNsO7DlwuBS9i8RNeHJhEErDppXZgN3s0LzJjNf/3qtF8dr7QBp5Zo3XbjpOvcbZ+vmXFxWpFIqYx191W2VEcScDwYx1Xt3YPGb5EDMBjG8QctLVLv19OjBMQYMEaqDQShdGtuc/089/nvv5riZ2/nAGzt5KfHvY3ogLCsbSyUrkx73PFfnfZvZHTl2gGs53E/KcsZMYqNZzvbM3eh7s4bMJtakQkbdSHV+qaLU1Hdca7czjaS75Treabx9joDKPBr90dQLarlzrbu+Y6+vM5ADNALGUa9zXrSrg/u3Xw4SnCdib3b8bnDE1QPDw8PD48D4EJrtcGGw+9N1dVSHAJnFC+uFpBKIaBWZVVl6BwxBkZja95a18Lzprvt9UWvhDUkCTitFvODiINTgm/eLQCQiozacUhL91VLZuOA4tHEqsbNhfi2BbNQGuMyPyvfw+XTLUYDxlCo9tIkbWHJ/Yhb8t1yPVeao2suCUjrNdvGs6karoX0mu1OqW6UmrUUhdIIKFnLS+xqa70NaaFwPs/WNlvcMSFHq0K+Ns4HLu735ffNcQo5hYF1bh3HBL/5ZFwdF3AKiFVI8DSVGCXdxjnumVbabqwQdKuvN9WonMlUxOnGs90LOb46G0AojfvDGBfLAi+vMxtOXJp7VX1rtKeQCpfLombCs24O5cbs3jDGPJclwdNrxxdKI+Kbz3lXOHNbzd62DRJOycacIb/hAMJ+lzY3XZKAQdTU30JqvLrOMM8FCCE4G8atirZTrqdLgX5iXX+nWYGT/uFOxg7bwrvdGMW1PNlt3wnVc+xRwRNUDw8PDw+PA7DN4depq71a+Zd9CCqnAKPAu1mOTGncGyZrBiABJTgZxBUpWMsFNfurttvQxhHri15CgELoNQU05LZu5ywXayUvbLsJkpBjmhaYpgIn/ajKaz0EAaOAQeuGgEOTLL2dF4A2GCQcz4761XFODXx+sQRjBAFja6SriWZe3aNJ3OpqW2whcg5ufLcR2Hr4aVvIqVBbail2KLPbrvkyzarwyUelEuby5dxz1SQjjozXrzlJQgCHq1GufW2EvP7vOlFeipZcPqlBASRRgGUu7MYIVnmH9Xa5Z5pRAqXD6ri2edknx7S++ePC9C8XolIV74/iDUJYJyX1MZ6mxUaUQr1NTj28TgtQRjBKktYxc+QwYCvTHoBUIcHN0FNK+N6h5tuiAOpjeJN8TteuqtxSY9Ml4BSiFmkhtc03TkKOrKP+sGtXXbkGQpwObP3jfWq8OpLuIll2OVu7MZqmBQJK0Yt2j+3Wmqd7wj3vzd9LnyI8QfXw8PDw8DgQXQ6/Tl09tH4qpwQPxgnezjL0OMObaYoH49Xic5wEJTlApboJpa1zKbBTta1MkjqESrew4XSzX27RSQhw2ucbCmgv5EhC2746cWUEmKaFJYsEeHG1xINxstd4NO9/b7jKfZs3QjmbZKkfMgwihrNBjCiga32e5wI/eT1DLgySyNYJdddtGxqXV1cPYR7F4cZxUmv0Q2si5Up4bIuidAtxG7paU+CVJVr1HNUm2WyrpRgwitNBiOcXS3BGcD4vcDqIEAeslWQ6ktILGB5OElwtC4wT6/Cc18IyeW2hLWuL5Sap+nsvrm1/9yg/0hyHfWu7uvs5pbciQsbmLkecQmkNUz6DqRB4eZ0h5jbUtH7tgFHEAatKCu3TXhdKuk7C1snpy+sMaSFxvRT46mwAWc5zm2IJALpsu3O8lsaWOulyynXHnw4CEELxYMdYB2xl2gPYd9UY+30hpMLbeYGzYYh+yPG0jMxokqImR2qLAngfqG/yKG1w1AtbzaCabQGsAi7LFICNDbwSdeW6vkFQJ6jbohc2v2e6KVT9fQyZDb9/ON5/rIwxO8OwjdncmHt5nWGeSyhl8Oykv/X8uw5PUD08PDw8PN4TblM/NWAEgzjA05M+cqFxVhavB7BxzWkqStMPiqxQUNBlaZHNnFjAEp9l6XrZMK7EIpf4+ds5hnGAeSYrgkvIethqyOmaAupILSuJxbJGmNw4qIsFZpmoVDe5h1rRtkh0GwJC6SpscE2tNQb9KMDVMsfrtMA8kwhoviL5pSLz9bslpksBwgh0qhGylQLZVqeUUVvK5MWVDWEOOUUSbObABsyazyyK3SU86gtdQslaGReruhHkYnWdtTnYol4BQBywjdDLLsUrKMNbX16lAAiuU4l7w1o4NNqJ70k/WrtmJjWMUTjpRweH/dbnbpGLqs3N+a/fjxGsj0vpgvxokliSUj7/7tqE2LIkzXbtk4ZZV/Z2EWl3v2Ec4HopMM2KymW28/qmdGceJ8hLo5+X1xkuFnlrzdpCanBKcG/UW9ug2IaA0SovHABSYUOhA8aA0pjMkZ19k9T3Iab7qH/unTPGbvJU5WPKjbcmEW5eMuR23t/MMrybF/jm3RLC6I3SSPu0e9cc10s4NRXoLsQBwzAJME3F2uZGWxuafXMbIs7lezVm7e0dJxxCKry4EhDKXu3Q+tp3CZ6genh4eHh4vEccUj/VhQRKbRdmJ4MQAEEvZOjXmGTzmowSJAHDST/Et5cpCmHAaHsIbCE1XlylVs2RGl+eDqoF/LKQeDPLcTEvwEv3Wkdwm2Grjxr5hy+vM/RDBq0N+jHHu3kBoWzu51EvBGcE16nALy+W0CbFD+718XC8JX8Wlkg7dUca4OlR0qqc1Bdnzok1E/acKGT4L7WQfKE0xjGHHIYw2oBRiielwUyXWsGpzQmUSmEUh5Ui5q5XD6l8fNTD1bKozG42+2dJulVY7fWyYjP89NEkwTwXkGWI+Pm8qObgi+Nep3rl+lEnt+7zLhfd02GE66zAKA6hDawBUQuaxNddc1lIZELhYiEwzxTujaKDFDVHPAupqpV3G0mIAlb14Si24+jCtOeZxFE/RC8KEQIwpcK+LRT1UHSp0G19kUrj3ijC2XClYLfVtq2HH7sSTi5KAjBba5l2hXI7ErQN7hpCqpXZFLXPxVIoaGPWSu/EZo/Q3z15UBdpLaSG0gZSG6SFRFSaCsktzt71/gTMmmgxRlAU+4ea18Nq3Rz3Qo7rMi2hHhJd5cMubD4sL53Ht7XL1Z11ZmTb3KLrY1NIjeeXS1wsio3j63n09WcSQJVnG0ccjJGD62vfJXiC6uHh4eHh8R2gThzfpXbV8eSov5f6GjBbRzUVCiGnOBn2MIoDDONNl1+hNOKAQjFb89ERLBeOmAuJcS9AoTSUWi0I3QJo0gtxtSwglN5YHPUjjmkqME0F3kxzcAos8hzPjnuY9EKM4gBfnA6QFhJHvWhn2Ou7eY6LeWbzd6UBMQZfnQ2qY9zp62qGRC/iGCcBjvpWvaJkneQ7xSMJGB5PelDKYNwLVnUVa9duoh7CTGg7iQJKV+aIVwSpeT1Hql1oJQCEpclRHYQAV0sBpQ1SqRFzgnESYpqKnU6vDyfWfZcSshZW2nVOFLCqb06xa9aUbCNFUqvqmnHA1vMEDySoD8cxKMHKpKkWOuxIQrMPv7xMcTkvwDmF1rZm76QXtl77NqGodXfZTrJbO8bdrxdy5FLhm3dLUGrn+XRo64K69+98XqAfWtX9yVECWr6bnJJOV2HOSGufhLJmQc5o6ai3GYZejQutOcdObMh9vzTzcc6z0+y6LM3EbK3lDwihrNPwMGbWCKsX4NGkB0YJUrH+LIqWMGvg/WxGuGtMU1GlJSwKhYfj2IaRl/mwl4t8a7mr+vXcualQuF6KrRsczTGZ52rr8bzR517I8fSIrhyiGb1Rfe27Ak9QPTw8PDw8vgMIpTGMOEAAVtbM60d8L/W1HkqcBAKZVJ2kNmA2L9ZgpbAKpcs8zRDfvFtilAQIGcWzk351DRveGa3lltaRCYVF5mpoEkilMF1qpFLi1TTDOAnRCxkiRhElAfoRQ8joxqITsAvPX1ws8fJyidfTHJQCv/ZgBMZWhNphWUh8e7HERSrwdlpAG4PjQQihDB6MYzyaJFUpmpDbEGhHKMdJgHvDGP2IY5HLtfyzLvJcJx5OWW5zMd2Fev4oAEyScK2OZf24uHLVLUAJRVbYOeAtuXV1hIyB8v1D+4wxGCd2KTgqNzeaNSWbRC/kqzl0KlcqCgRsszzPPnDPZ3XfMue1ThJO+lF1vNIAJ0DACV5cLiGkNTw6G8QbTqg3JaZtbWyGsQulMc9kRe7r9yMAvn63xNUsxyAJMIqtIumchlOpwSmQBCEWuXXaDTlbI1qiVNDX823b+2Q3j/Z/JtsIXi4VYAxCzjBLJYZJUIVG0x3PXRv2dQ537wWntArXDhiFajzDbeZmZdr9jTcjmnnFD8cx5rmAIQajOKzG0plWpYXELFeIQ4kXVykm/e0bMgGzIfuEkKq0UxeBro8Xp/YZauZ+N6/d7HPAaJVn+3jSwy9uMG93BZ6genh4eHh4fAdwixcD3GjX3xHJt7McuVTIhV1INUlqV16sK5XzYBzjrCRt9XPdeWkh0YtktQh3C0VT/nc2jCC0weOjHq4XAlGYYBBxEAJ8eTrA2dAqjJY0EiBb74dQ2uYyColBHALG4DIr0A8pKF1XGAup8cvLFNNUlmZUCvNcQyqD19cZRglHfxCvhUfXc9t42f+QUyzyzXbsqvfpCIMLRXTztk/qXp18BJy1klN3XBIwXC0FAs7w7NiWGlKlWZNbuLfl6tbbUc9Va1u4O8XalQIaxttLs3SNiW0NuXFJluZ9Ho5jTFMBEKyRBAdGgYAzm9/XD/HVWb8yx3EEda/8xx0/r4fgur47gnk+L0AARJxBG7NhViS1BicA4zbMPWAEIwSV4ZbMBCSBrf3bEo69LCTezQtcLwWuU1mFeOqOjrUpiHlHfGfX0Lhr5PXQX8ZgYLAs1NZn4KaoUhIIWRuLJrkVSleqeRxxDGNskPBD22eV281w8kkSYpaptbHkdPO5dEZ1+9yzjUw238v61Iac4v4owvXrosr9fjjeL6fW/buQyuegenh4eHh4eByGOnE8TciNygIIpREGBJTaeqRO5Wu7Vxv53BVOHHIKRgNk5WI3lwq/vExxvRA4HYVrytH3zgY4j/MqvMxdN+SrcMO2moovrzMwAlwuBKTWuJwX6McMWhPcG4WNhb8BJ0ASMaS5Ko2bALvUbV+Qh3ylfvTDzZBaYFVPMSvzN+s5X/XQ3PNFUTqiEox7AXoNE5yuWpJujNwi1V3XfV4fD0pQ5c4aAIOYQ0iDTCoUUldmOvXcVNfeJulqK39T79cg5BDcYJatGxQ5pbDZP2CdBDuTolEcrRHJ24TVBoxilARYFCuSUFfeXb3NccKtq6/GaqPg4Lu1o55jvSgUxgnHLLVh5cf9GOkiB2ANkdpCMENmn7msUAg4q8KnCQF++W4BA4LjfoBJL8AYAULO1p4HS4o23XzbnITdObsUxK6NiuoafBVu7cKRAbsBVq9nvGtO3X32CYOtt51T0plzKpSuvfcSIbWfFVKDM7J23K5nzx3TlVccctY6ls3nMg7av0uaqIeJN79TtpelIq2mZ7tQV5rPU3Or0mPfJTxB9fDw8PDw+I7giOOu0M0uBIwiYgwh664Ruuveh4AACCnB6ShCIVWVsyq0QS/i+EEv3Ep6nRmRI0FpoSCUwr1JD5lQUGWJiXESIJebi7KAUQScYQAgCTnujyKczwtbiiIIWkNMQ75avD+erErwOGdjp2b0QgbiwitrhMMtZF0+XsAo0BFq2dbXZvuBdiMgt2gNKEEubLi3o7uFUrhOC1wsCjBCqhDRusJoCRCpSLJzZmWEIAzYRr8CRiGMhlYufNgSoG8ulng7zQAQ3BtFeFoaSbWhqdx19W1f1AnGo3Fc5dzWnyUX0mlDyFfzHQUrFWrf8NJt7bCGOQznswxfv52DArjMBH7tPsAZAwE6QzYDTitzrUeTHmapJfxnwwjXqUAvtCH3zjSniTZFVCiN19eF3aBoGdtdpGyfeQmYdYpm1L5312mBRSHRC/hGuPGu++RCYxBvbnDUrxPWlMQkCEDI6tlttsu997wk79dLASFNRe7aQoDb7t00V2vOofserb//rvZpfSNgGAcbYci7sI0c1+Ge8da8WveMt2yGNZVmZ7TmCaqHh4eHh4fHR8Ntytrsi/ryOeQM90dxZaj07KQPAwNRqKo9u9rgTFHeTjNIZTBKeKVcJpxiGAY4GUQoxKZiUCebzvm0F3I4Y5ouuAVnRU5rBlUgBJMkBCUEWQvhcAtFIRVC5haMDVURmypOIQMkNRWpXrKkqy6pDQFlVbkgziiENHh1neFyWSArNO6NbV6wUmaDwMhaPqRr+1EvgFQaaUu/7g1jzDKBVNgQzlRIzLMCnFJwRiCU2iAl9b42lbuuvnU9B+7ncakgNl2jd+W0OqXx0FBGoTSWuSUpXUTNObDOC4VCaTwcO0OhoMx5XimebWr4mrlWWRqHEmCeK8xTCVCC75/aY5sUNWwQ9IBRLAtZklO0zksbgdylFtbR5DtCWefat9McBAXOtjg0C6WRS4NlIcEJQRDY0OC29tQJ4tkgxHnpbuvcmN3x9U0G95y5Ta1FIW05GtdHbfDLyxRvZhmsiziHUJtGUfVxQGHN4dz4VgS1ESHQRuzdH6U38+mbaCtV1EaON0g531TFnYKujAGnmwp1U2lW+rBNy7sET1A9PDw8PDw+YdxECT0E9QVbGyG+XBRYFtLW6Iy6r+PgiNTZKEIuNI56IQYRx8WiQCGteVPMGY574QZBqasbvHT5dG05hKjY8FaGXFGkhQQhttYsIWitP2mNhDiOexF+/PIajKLKC1tbgNdCarU2eHrc37h3lzJS/7wfsopoOnU3CRK8uEoRUHvc8cAurt0YOfW1UBqTXoB+yDGIOR4fWXWa83wjdDfkFP1SaSmUwsW8wCyVuFwKHA1CjJJk5wJ3Q7lrUf7qipnrU33hH5+w1jqTvIU0NFEojUwoRNwu8peFRFQro1Tvb/3eSWBdsNuUNkeICIA3U4oXhcRP3sxxOgwxTHgVXu2IRlv5EHeNJGBQ2tIUXZKygDEIpSrjsma+cMgoAk7XNhvcHBttAEoqwrwsZOWk7cx8Jkm4l1rYBvcGufDtZyd9zLc4NAul8Xaa4yq3ubkJt+/UMG43AHN5uC+uFsiExCxV+OKkV7k4b2vbdSrXXLDHsU0zWAoBaI00V7goChQibH33AGvuJrTNr20NYW9sNnUS+333RFrKwjTJMQDMyzrAXaq4VUeXdv4JwdOjZCNKo640xyFH1L9Z6shdgCeoHh4eHh4eHnujToidErksJJa52tuFWCkNoYCA2nIwvZBjGAfohwyFsqR10gvxZpZhWcjWPCqpzRrJcaU69kHA7OL/7TyFNPYSIbdkrx7627zHcS/CKAnBqHWafXWdVsQr5GG1CB0lAQjZdCB29+7KcauHIs9ziWUhYSiB0nZR/2AcY9ILMc0ElrmC0BKnA1u/NC0EoiTCm2mGTEjAoKp5q8t+ONX6eBDiy9P1Bbwo8/menvSRhBnujWI8GG8S1G1DHDAb2poWqlKPm6oob1Fal4XcqDO5j/JTJ2GzVFbGNe9mOS6WOWa5Aid0LVTZ3bsfboY9N/sipAJjBL/xaIx5LvH4qBwP1/YqF3VVFiZsEIxBzJEWCrnUpaIdYZ6LKje1bnrl+kIowePJ5vN8WiO3gCWnv/P8Gou0wOVS4Le+PLKh2qXCukstdKhzLRc66jZMpNLoRbxTzRbKlp+KOUFASWWadtKPNhy73TVnmQBAMIwCzFKJaVZg0lvNeVsq9+rdWrlgPxjF4LzsD6XoBQyjXoijXnvt5PN5AUZtfdCH4w4H3tqQd4bZHgCh9MotvFEWxj2P9XxnF7JsjN1UqG8YGL1OlsNGCaDmd8tPvv00ySngCaqHh4eHh4fHFjii5UxJ6kTRLoSsmUvAuk2aHAppF4lRwNAPOR6OE0z6dsHZL/PyQraqaVmRG2MVTmcEJZQ1E6rXzLxaFrYO7B6LyJBTnA1jPL9cgjOCt7MMIe+hKMOPXahsrkyl+Mwya+I0ijleXqf45eUSl8sCFBRvphn+1PfPVuHAyiBkq/BPoTQI1muyur8DWCOpTtkUS7twHUQMrKxt2Y9sOPOkF4ASgh89v8LVIrNEjFG8mwu7SI/DquZtyCmkLsN/KcX1MkemhFWxBzECTqp751Lh5VUKSgjSQmFZyFaVqQuOBMCYylyoqUBVCnU9d5WgIjfn8xxJaBXEXW68dRKWCwVjrFL587cLzAsBThnGCXC5yNALGU4G0ereQm0lHUJpfHOZ4nJh61cO4wDjkhy5tnNG91Ym3Rg/OU5wPl8PEyUga33JilXpGUdSnDoGYxCUudDTVEAKBVOSvp+8nuMH94eAyz+mh5Mrp0jXyU4csM7NHzueBpk0FfES2lTliOoKei/kVaiua8/ZKMbpIMRxL4Jy+dMt8mT9malcsDmFLvPBnx4lVQ3QoKW+cJ3gprVyQU2QBkHtMp9qcxpuuj43IwWswdqmMgpjQAmqzZq2/NLmO9NU1+vHfaphvXV4gurh4eHh4eHRCecES2pEsV4r1aqR+5k0ucWYIwr9eKW4NkOHF7kEBXA0iKpcM61JteBjlCATCrNM4DIVoJRgnit8cdzbq1+EAPdH1i3XhRdepwWeXyzQD4OS1FnDpt97OYOBdRp+etxDKhSu0gJCGQSUQCqrZiWhNWdpI9nXTGDcC/DyOkNWSFymogwJbTd0Kcq6lL2QQ5UL/nqJoKulVc2AENdLgV9/OAQlNmR3lARr8xGWat0iF1gUChEornOBb94t8OykX5GIoyTCs2ONYczxuy+uYWCQhMHe7q3TVEAotWbeVA+pbFOLA0YRl+G2f/BqCm1sqPakFyIJeDlXK9aQSVseJwnX64bGAUMhNb5+M8O7hQDnBEVe4GppEAYUqbTlUp4e9/BwHCPmDLNcVGHAzU2Ceoir1gbDZEXU6213fa+IQYPHkcYHEa/Vi23wEDdWEbeGXS503pH6JllKQgYFYJFJ3JskuD+OMEo4nl+myKUCo6RSTttcn9vmsJlz2Qv51vB5264Ek6i8LqdVTnrzes9KFdsZXNX7EjAKJbtzOtv6L6RGrjSUtu+JqwHaRtL2UUOF0kAjN3kX4XOh5O/mBfJBhIvqva7nldPSKZtjXIZfu+dOKI15JvDz8wUos+16MtFl+TFUz0hb/w81afqU4Amqh4eHh4eHRyeEsnmhozhAXtabdETpUJOmgFGclGVamoS2mUsbMIrjfljl6dVJg4FV+FJhF3kRpTgd2PBWGy4Ybii9TQXYLfK0KdeBxpbUuFoKSAVEoTUKOhva+oecUYSMgBBglAQYRAFmS6t2RIFVjgppFaN+yCuS7VQxIS2Bcw6572Y5Ho1jwFhzGaE00kKhF3Ic9UKwMtc0E6oq21Mf85DbPgeMgBKCQhncHwb48nRQmfLU5+nZcQ/jhOMX7xZYCoVHowSMWRJU5SomGv2IlTU0yVo+aNeC3v15fZ3BwOBy6dQpgmkqN0Iq3ZK6Gd48TgKMEo4nkz7eznIsC1URVIdlIfGLqUbv1QygBL/5ZFwt2k/6EZaFxHWa27DaXCEKImgQMELWTJ965fy8fLMKeyYUZT3T2oZBGeLab4S4NknLNgJTzy/V2qyVRakMdPR6+Om9JKhq1EptcDIIV3nDtTHshRx//NkEvzhfIAooOGOQymBRyKpWZ9W2crPDPWsbCqNc32CYpgWmqSjr9XJsS7rkjCLi66TPuUh35XA2VUSpdKUUdynnzXPa6ph2zcU2NbROModx0JmbXIfr3y8vlphlBWa5wiSxdZzXSLQ2eHG1AECqz87nRZVLe9TjeDnNYAwwicLKXIrc0Nn9c4EnqB4eHh4eHh6dCJh1Wc2lblVJDzFpCjnFk6P+XoS2i/wSAL94twCBJYtfnfZxsShwPsvxdl7YMhlkWZG4tVqgNQW4eX2hNO4PY8AAhTTgHNCMoB9xnJQqbr3/D8Yxvn82AACME0uIvz6fIxUKaZmPW1dtwjJXzpIj4O2MWBIWEnx7scQfvJ7hciEw6QcwGpj0rXI5jGy9z2Yd27NhjF9/OMKbeYpRMsT9cYzTfoRB3L60CxjF6cAqYs8vljgZROVYWYfioHQPvje0OXC2rE1uQxOHUUVEB5G9vivrYWDw6joHZcAwsvl/kyQEZ7YUSBIGmKYF0kJVaiDQcPENbMjmUS+2ynGZm9yEvQbB0SDE5dxeszdYGT4RwjFMIsSBwiABvjhO8O2VJaGZMGs1eR0pigOODBKZLMNOS4LhwlFFmROdy/3qUBKQNS5HsFISQ0oxz0UZEr8ah3luyy258FMb+m3DOF9eLSCUqpTskNO164+TEL/+iFcEa5HLykRoGNWMisqwbVGWHqmTxaKsb+xIk1TabjQQYFEoPNsSleCu5RRWUTrNViWZdqiW7jlyBk+ng3BrNIYTFbcaGB0ANzdpIXG5EDjuh0iLTQfiNiwLiTfTHJwCl/MCr2dL9KNVbqt952y5oVEcYllIXMwLCGXfN5SGRxGl4AFFlkssGLEE3dhnqekCLKRCJjUeTWIMok0jqs8FnqB6eHh4eHh4dOJ9l7I5lNA2idnT4x4KpXDcj/DtZQpCCB6M44oQPpwkNlSyVHqF0rXSF9hQgOvXjwOGh5MEShkkEcP112Sj/8AqbDegKzVzkUsEnJb5YTansB+tSM4wCpBJBaUNKCGghOJ4EFrFKxOglFoH44AhFRJBYRf0EWet4xVyiq/OBohDW27H5ijuHlcXCnnUswvpQmpLaLRBVoRVrVhKCc7nORijCC5IVX/S5ee6eougBBoaEeXIcoleEGKUBACs6+o0Lez1CbAsFB6UJjBrLr6BDXv9E8+OILVGKqySXFfShNIwMGAAcqUBStbK+FTzV1PJBhEHoxTjhOP1NEMU0Mp9uRfaMOjrNMcwCmCMCzldD0V2c7AvQW3DdVrgclGUzsCkat8il/j52zkCRvF2VpT3ZOhHHEoJXKcChKwr2RFnG/mPVag9JUhCO/bOREiUxPHhOEYuFd5Mc1wvBa5TWamEWRlO7gyIojIk3IVqN8sX1efEzeNlZiqzNFcOZpQEa/PRDBUWalW304b7Ezy/kJj0bA71qAxPrhPqsDY3TfJbNxWq38PlereFOTuiO4wDXC4KWwLoIEMkA844jnoBTgfWxKypcidhgGUhK8X0cimtkRMlNgQ4YBhGFOfSIAoo3swzHPfXLdGXhcQszTHPLCk+n+d4etTbWqf4U4YnqB4eHh4eHh5b8aFL2RyCQWwXggZWxTwbWnIK2HzZTKg1BSZgFJNesKGANtEkom9mGXJpqrBg1/9FbvMCe9E64XWL56CRj1uRB0YQGIovTvq2fmvEqnzUQkpEnCAX1iSKU4p3ZX3IZt5vs80Bs+ZGFpuqYxsCRqsxE0rjq5M+oqBUqIn9rB9wnA4iCGWQCokYDOMkAS3Dq129xdlSgIFiGDFIQ3C/JKBC6crRFwQYxSGy0gRGKrORq0oJqVygX16nSAtVEe+6Cj6OCX5w2q8MeepoBkWa0kCnF3IMo2BNbSMgYMyGSZ/0I/RjXt0PsKQSQHWPOkk6hBAscoUfPb/G+SzH6+sMf+zpBMOE4zot8OIqxfVC4HiwUp5HSYA4YLY8jTHVfFQkrI2FYfWcrUx0NkuQGGNKAx7rUFz1h64bEA0TjuW1ddcNGKvytJvjUFcxtbEKN4Ay31mBM1IZS1k3boWQrzYA7OaRfY6WmYKJbF56HDIUYkUs15ygJzE4bc/JbTLUOoFOpQanWHvm3DGWNGucjWI8Pk4gW+rjNufflM/G2SiGVBrDpIeTQbRhJuXaOU2FzedlFJzaNISnx/Z9fXpsxy4OC4ziEDDAMrcKtrve+bzA+azAm1mBXsTQjxja6uF+LvAE1cPDw8PDw+OTwTZFt+3zQxRgR0QdIbrKDb69XG4YQ41ivkF4d93H5bklgVXIlu9kZcgUc44/9f2xJVMBR8Apvj5fWCdbrKu+ddh2ptDaGrs8O0o6FdcuBIxi2NKfKLBEeZ4JDGMGqQ1yoRAHHAljWBQMx8wpbRzTTGAQMpzPCxAUMMZAGuDByBLAaSogtcG7uf2ZC0MNmF2ku7BQwBISCkBjZUjkiFDMCMa9EEJtsjSpTBUGKQ3w/dN+q2twPZ95NErQK1XoOGBlbuOyyhW+N4oQc7ZhHtQZgtpgyZmQCBnHV2dWQR/GdozSQuLdrEASUeRKI2K0zPekkErjailQSOu8PO4FFVHOytItzfsHjOLxUYLLZYF38wLXS4FCaEz6q5BTpY2NOmBAQG20AGAJpdtM4IzgupE7HDKGrCS0zjCt0AbjxNbQTQsJSoAkZJhnEt+8szmXUtvQ8G/OF5jlEknAcTqMKhUdQGnCRJGHGvdHEc7nBZ6/WyIOGXoR2zAaWpb5ta7P9XGghECVIdpWzbUK/knftkMps3KOxor4GqAa40kvxPk8r5yG3bPSNv8Bs7nd+xgXcUbAKcN1KlYuxLW2B4xiUShMU5um8Hpqa/UaQio37AfjBJlU4JRikUpQtJeyaoZdf4rwBNXDw8PDw8Pjk0KXonvo510QSmMcc5wkpDUsuIuItt3HLZanqTVUyoVVC19PrSFTLg0eTWKcDmIclSV3Cqkx7tkQ122qr1C27qYk1oglohRCmVbFtR7q6O7RlovrzvvydICzYYyX10tcl23X2uBsEGMpFE4HQC6tUdWyUJilCse9CNNMQCoFqYE0VyDG4I8+moAQICsUAAJaGsBMkhBJyPB2liMXClmhbbh2yDDphfj2clm167i/KvESMIplITYUTak1hFSY5xJprvBLulJ0XYkPNxakvFZaSPTDdVXPleSRWiMtRLWxAGBrvqNQGrk06NXMnXohxyC2NXVHUYB+GOBiIaqQ0kHEMY7DKpy1ah9BVXLGkaTnF8uKtLSR5NX5CkkQQmPlMCyUxqvrDIRacupqhQpl3atfTzPEAYPUsEpjEla5wyKqlUUyBpxTfHu+QFYwgFA8GMU4iq2i3QsY3sxsWZ+0EPjpmxmuFgKF0fjhvQHSQuD5ha5yTh+N4zViOc+sUtgvCfmDcbxmNBRxhiRY1RB1briW6K42GF5eLnE+L2CIwdVQ4NE4wZPjpBonG4YsSrKrN8io2+R4epRAKF0d696jer3YjWehpuTWye04CSoi3DZ3p4MQzy+WmEqBWarwxUlQ3c+F4UcBw/1BhOeXKRZC4scvZ/jNJ+M1pd+1/5czhXkmO/PS7zI+vRZ7eHh4eHh4eHxArNSQdoK4L+F1SqwjNfeGMYLSOff+MAInBJmwDrQu5NZdfx8zKZdnucjtIvReqTY2FVfXDmeCczYMNwyjmvewn4U4n2dVOG4c0irk9HxeQCmDXGk8GMW4XBS4WGSQ2hIkJYE44mCMQBqN61RCSgWpDBgnlYoklAanBDTkoGUTkoBZpbAkozb32I7HabJSv5xhzIORLRuThFadfjvNEUccQir85PXMhi8TigelQieVRjqQVgFUBmfDGKlQ0CXpyAuJX14tQEGRS44vTjRCRnCdirX8xDrpF0rj3bxAQAkIIYhD+wxNkj5+64uTqqZsyCkWpaHRUT/EvWGEe0NL+tNCVhGqTbXP5WqOegGigK4pfPX2nM8LXC4ELhcST46TtZ8FnCIJGBaFgtSWcH9zscTXb2e4nAs8Pe1h0gugFFnLHZba4NgpsYRgnklkQiGXtiwOqSULh5xhnitczQtcZgKjmOHZSYI/eLXA1UJgEAXgZe3ktJAgBOjHHO/mOX7yeobpXGJRKIAYzFKCk0GIfsiQxhwn/agMD9dV2+tK9/fKMjPWLdmGSfdjG37unJABq9Z/e7HERWrH6d4oWm1yKLO2yaGkrTF8uRB4Oy1wPAhxOlzlh3blvRZyPQz60SSxRnNk8/vEPUdCWeIegeF8VuDdIscoseN+NlyVrZrmAkuh8eioh1kqKvfv6lpl+8+XBt+8W+AH94d3JkVjX3iC6uHh4eHh4eFRg1MVJzHtzP/cB0JpHCUB7g0j/OJ8UZojlUpTyMHHFEoZPDvpdxDE7fd17VzksjKEaiPUQmmElCIICYguqhy6rtBhh0JqvFtYwqO1waOwt6Y+PRgltrSONBjGHItcIBW2DYOII2QGUttFfxIwHI1jzHNLbpKQVYtyTu24MGrzUPsRX8vtrY8Hp7ZEEQEwzwV+/maBby8XSAuF//KTCb46GWCaChgYvJnlEFqjEEAvplikBZZSYxAGeHGZgjKCURTg7SxDHDIoXYYIl2rnw3GMi1TgaikwjDl60SocOWB0rabtMGK4TCWeHiU4n2bIpEbEOWCsGj2IV2Gtj496yKTCNC+wzBW+VSnmZUmiN/MCj8YxRom9n80rVUhzAQWDNNeQUiETyuYol8Q7YBRaG0il8GiSIBUKZ4MV8QoYtRsihQI1ADHAu3mOt9MUi8LWE31+scAgHuOr0/5a7rDSpqZUUvRCip+fK3x7kSIMGQJKUUhL0xglOEo4Lg0Qh84sKcSz0xjPjgeVMZi9viX7UlqzpOlSYK4kfvp6in7EcTWMwDlDzBm0Nog4hTKqegbnWWHZITFICwFZElcCg0VRYFpIxOGqnq573n7yeoaLZQ5OGZLIkuD6cyaNVf/jiENoDaGBs6FVLbWxz8g8F9DahgbXyyEJpfF6mkGXDr2ngxAgZM0FvZ7PCqxCjYU2UErb59ZYon1ati1gEmkhMQwDHPUDa5S0zBAxvmYWFjAKSogts8QJWGnY5gmqh4eHh4eHh8cnjpBTxJzcamEXMApGCZQ2a4ZOlmy9H2dkp3Q6Utd2vYBRjBKOQmlM+hzDiG8NHXYQSuOkF+KkH6KQVmkErGHLNJWASXEyiDBOAlylBbLcINcGz4566EUMV2mBKLCGQyFbLdKXharKoZwNQ5z2I5wMompsXL8ul0VprrO+wA45Qy9g+LZQWAiNIKB4cZnie2cDHPVDPDnu4WJeIBhTvJ3nKIRESCkYI1C5BoGBMhrEMByXJYQs4ZF4eZ0iZgzaGCwLmzfbj2yO7pvrDNNMAiAIma2byznF5byAGkWYLQV+KiTGUYR+yEo3Z9NKEF5dZ3g7y0BBMIoDSK1wOojxZppjGFsn3ot5DkYJfnm5xOWygNEEZwONXswxnRW4LiQ4Bb69WODxUYLpUiDXBtBW6WuGwd4bxZjmBY56EX7/5RQvpyneXBe4Sgs8GMeYJGEVSp2EDGnBcLHIEXKKaWqJkzQGJ0mAfsgx6YegjCCXCqoW8jqMQ7yYpggpx4OTCA+PEkwzCa0NrlOJL096VU1loTSmhYKUEknEoIzGw6MEX50OcJnmWKQKw4klgaMkwLhn67u+vs7waprh+cUSx/0IuQzxKBO4XFrnYxCKZ5MIIBRCa1wvBc7nBXKhcDHP8e11jiQk0HpVVgkAhhHH06MExFgjr1czAU6AqwWpzKt+8maKq7lAHHLcG0b4jcej6l2fZxJSa/TDoIqcGCe2tnE/4ngzy9YIacgIpqnAST8CYM27lrnEqMexLOz4uJJHmVDQ2mCeSzw76eP+KMYoCTaMvB6UkRTnHGs1lD8l7EVQCSF/GsD/AdYe7v9ijPkXGz8n5c//cQBLAP89Y8zf2edcDw8PDw8PD4/PEYfmq972Xl3Xq7fj8aRXhRnuur91H3aOpahI8Ek/xJNJglkm8WiSgFOCmFPcn8R4eZ0ilxqTXoAHo6QyWzrqhZUBldTWnTYrVT5GN8OMu+rXuv48O+ljmgnMMmkJa8yq887nBYRUUMrgyVGCJCjwcNzDxTLHpAecDWKEnIBTF9apcZUKzDOBeSoQDylO+gGkNuCU4OX1Ese9CFHAkShAKoXn1yleXWWIOAMMcAaDs1EMQgzOhhGE1AAMArZZsmSRS1wvBfLC4NV1in7EcX+YwAA47ocgxIb4xgFDP+T49t0SZ/0Ix/0QjFGb4xtovHmTYZhwDKMQ2tiQ6h4Mvr3MMFQc314tMUsF3pblgv6++0PcHyYopAalFH1K0Y8VhGY46gU46Ye4WBSloRUQcXuvQmkUQmKRWwfmy1mOXmQNstJcYhAyvFlqvJvnGMUBToch/uOfChBq85a/f28IZQzSQuNykeM6tcZIzy+WCCjF+TzDQpTzNU4wjANcLHK8nRbQiuD1LMPDcYJFLhEFDFfLAm/mOfoBx3EvwqNxjHmh8PI6xTRV+PK0h5hQGEKQ51ZtPu5FSIVAP+Q4GcS4WAhMEo5+ZOsXz1IJpYGs0BgmHMeDED99MwOMAaMUQUBw3Avw/GKJ11e2lulkEGAqCvz+yxn6EcWraYFByJArg5O+HcOrpS2hE1DrnO2iDzil+PrdAlJpFNJgmkqcDkLMM4HrrEAmdenUq6t3MQ6smvx7r6aIA4plWcrH5rgLu6FRHvfkuIeL3u0iQL5L7CSohBAG4P8E4B8D8BzA3yKE/LYx5u/VDvszAH5Y/vkHAPwrAP6BPc/18PDw8PDw8PgscVdK9NykHV0EO2TW9KdX5nwCwINxgkJpjJMAD8cJehHH21lWuQM7dTRgGknAUCiNgNryJRztYcmTmCMMbOhtU4UcxBx/9PEEccBgDNCPWEWghzFDP4yxLCSOeiF+7f4YQmnMcgFOA0QlwXVh0UVZ47QfWeV0nAQIGQMhBJQCBARnwwhXyzJ/FQoRp3g0SSxpYAT3xwlez3NwWFfjs2FclfNpG/dJzxK5Za7wxUkfk164toFgDPB2lqFQGqfDCJrY8NmTfghGKKZZgW+vM3zvpI/rpUQv4FhkAi9nOVKhyzBajedXSxhNAGJQlIZcgE1t/fYyxSjm+N5JH6NeiItFjuuZwEJoMGbQ4xxRQCEVoLRGLiRAbJ/+yINh6ewsMcskXi8NfvTtFQgIeiHFvXGEe4MYhbaJ3ATAH7y6xvlM4GpRIFMaxgCTJACjFJzZUi+jfojvD4b493/0EjEnoNTWZ/3BvQEMgG8vl8iEwvVS4OE4xqgMQxcKMAMbgmwMMEgYCglEIVAog9fTFAG3hL8XMcwyAaE1rpYSSyEBA4SM4Zt3c/RiDk4oXl7loJTgm9kCz077eDS2dXYv0wI/eZVimUucjWKwEfDNhcLL6yX6AcMwiXCdEjBCsCgUfu3+CEVfY5FLnM8LvJ3meD3NIbXGIA7wZJLYmGsCTHOJiHG8vErx5WkZCVDLNWaEIOQEFwuN64XE1TzDZSaRSokX71L8xpMxqCGIOEVAcSe+e26CfRTUPwngJ8aYnwEAIeSvA/izAOok888C+DeMtbT6m4SQCSHkIYAv9zjXw8PDw8PDw8PjDqJJbLtIa3uJn+1lf7apuU69Vdp0hiMPYo7feDTeuEfEWOVwPCmV20UucW8QIYm4rZVLVn0LmMbV0t7v2XG/Ipd1gj3phZj0QpwNbfjk21mG19cZpNZ4fNTD2SBGwOcYJ/Z+Lpe2Df2I49EkgVAG94akauNmHvJqnJyS5q65yGX5d4InRwaPJj0IqTG8WCATGsrYGqODMAAIUJR9doS5H1kS/eIqRRIyKGUQcoo3yFCoHOMkgoGB0sD9cYSQUzwYJzaMNZcY90Ibrp1zvJ1OkYQUR70IuiwHdNa350eUYlwa/WhjQ4dnQuBqVqCfcEitMYw4+mGAXt8aXQmt8XCSIJMh0kJUNU6VMnasGAWMdRo+G0TIpcIsl2Cc4CSJ8Oykjy+O+/jp+Qy/uFiCE+BiIfD4iCHgBGfDBCf9CD9+eYV5JvFulqPQGk+PQhBKMIg4RnGAX7xj6Jdj8/Q4wTAJQEDwuJw7Ahv2Pgw5fv7mCstCQxngbEShS1fiQmi8uspwrzRWGkQcD496EMZgUBpWaYOyjqzELJV4MA4hhMQXJz1cLKxaO8s1nkwSDGMOJW2O7Cjh+PpigemyQKEIZrnAtxdWkR/Nc1xmZiM8/lPBPgT1MYBf1v79HFYl3XXM4z3P9fDw8PDw8PDw+ETQ7fq7n9HTIQZQu/J09yXQAaOglFhyinXC26kUtxJsm6M56YV4NOkBWJHGe0W8UU+2q81fng4O7tv6zzbzjgupsSgkirLm58NxgpNhhGVh+/z9e8NaPyjujeJKuXWKLaNW7nw47oEQA6EMkpAhZBRn9+JK3XUbC0XpTPvia4KIEwTMEu6//8uVc/Egtu08G4S4TCVmWYF+HOKL4wTGEPzagyGWuQJjBCGjGMchhhFHxAmGIccfe3qEfsyrNhoAT457axsJrs/PTvpVWZXvk2Gp6DK8uE5xb5iAl2PVjzgejHp4gxR/9MkI00zh3ijCKA4qE7HHRwkGUYBJP8S9YYKQUXzvbGDHj3EooxEwgpAzPJrEOBtFmGcFjpIAjBLMcoXTfoheuSHRj3jZLwolNY4GIZSyin0mFZKQg4KgHwXoRwHGSQRtgAejBOoqxVEvAAjB4+MQUUBRKI1ZKhFQhjezFA/GCe4NYwzjAN87HeDtT3cbod1V7ENQSctnTUflrmP2OddegJC/AOAvlP+cE0J+f4+2fVc4BXD+XTfCYwN+Xu4e/JzcTfh5uXvwc3I34efl7uEWc0JsDRhjjKVZ7xsf+vo3acMhbSqPdUt4V+xz5/mEgJAzAO9gjG4/jhDCwwiE0PJ6VhI2xhhZ5Bv3IYSCMAqjdHVsa/+6PnP3DKyNLuMBlBSAMUaKwt2D8NBKvQCMEqK6V30c1saj5TwtJWE8cO0wsshhjCE8jMo+atvH2nw0xti2097YKCHcsYQF1jFro/0ACKGEBUH5/9BoWdjuGwNjtDHmCEq+/u6exZ34ousH+xDU5wCe1v79BMCLPY8J9zgXAGCM+VcB/Kt7tOc7ByHkPzXG/Fe+63Z4rMPPy92Dn5O7CT8vdw9+Tu4m/LzcPfg5uZvw83L38CnPyT6a798C8ENCyFeEkBDAnwPw241jfhvAP0ss/kEA18aYl3ue6+Hh4eHh4eHh4eHh4eGxW0E1xkhCyF8G8B/Alor5a8aY3yWE/MXy538VwL8HW2LmJ7BlZv772879ID3x8PDw8PDw8PDw8PDw+KSxVx1UY8y/B0tC65/91drfDYC/tO+5nwE+iVDkX0H4ebl78HNyN+Hn5e7Bz8ndhJ+Xuwc/J3cTfl7uHj7ZOSHmzubNenh4eHh4eHh4eHh4ePwq4dPzHfbw8PDw8PDw8PDw8PD4LOEJ6oEghPxpQsjvE0J+Qgj5K991e35VQAh5Sgj5fxNCfkwI+V1CyP+k/PxfIIR8Swj5u+Wff7x2zj9fztPvE0L+G99d6z9fEEK+JoT8F+XY/6flZ8eEkP+IEPKH5f+Pasf7OfnAIIT8kdr78HcJIVNCyD/n35WPD0LIXyOEvCGE/Kj22cHvByHk7y/fs58QQv6PhJC2Em4ee6BjTv63hJDfI4T8DiHkbxBCJuXnXxJC0to781dr5/g5eY/omJeDv7P8vLw/dMzJv1Obj68JIX+3/Ny/Kx8BW9bCn9/vFWOM/7PnH1ijp58C+B5sCZ3/HMBvfNft+lX4A+AhgN8q/z4E8AcAfgPAvwDgf9Zy/G+U8xMB+KqcN/Zd9+Nz+wPgawCnjc/+ZQB/pfz7XwHwL/k5+c7mhwF4BVtrzL8rH3/8/xEAvwXgR7XPDn4/APz/APwp2IJ8/y8Af+a77tun+qdjTv7rAHj593+pNidf1o9rXMfPyYefl4O/s/y8fNg5afz8fwfgf1X+3b8rH2dOutbCn93vFa+gHoY/CeAnxpifGWMKAH8dwJ/9jtv0KwFjzEtjzN8p/z4D8GMAj7ec8mcB/HVjTG6M+Tmsw/Sf/PAt9YAd+3+9/Pu/DuC/Vfvcz8nHxX8VwE+NMb/Ycoyflw8EY8z/F8BF4+OD3g9CyEMAI2PMf2zsquLfqJ3jcSDa5sQY8x8aY2T5z78JW7O9E35O3j863pUu+HflI2DbnJRq238XwL+97Rp+Tt4vtqyFP7vfK56gHobHAH5Z+/dzbCdJHh8AhJAvAfwJAP9J+dFfLkOz/lotrMHP1ceBAfAfEkL+NiHkL5Sf3Te2DjLK/98rP/dz8vHx57C+gPDvynePQ9+Px+Xfm597fBj8D2DVBIevCCH/GSHk/0MI+YfLz/ycfDwc8p3l5+Xj4R8G8NoY84e1z/y78hHRWAt/dr9XPEE9DG3x2d4G+SOCEDIA8H8H8M8ZY6YA/hUA3wfwxwG8hA05AfxcfSz8Q8aY3wLwZwD8JULIP7LlWD8nHxGEkBDAPwHg/1Z+5N+Vu42uefDz85FACPlfApAA/s3yo5cAnhlj/gSA/ymAf4sQMoKfk4+FQ7+z/Lx8PPxTWN/89O/KR0TLWrjz0JbPPol3xRPUw/AcwNPav58AePEdteVXDoSQAPaF/DeNMf8PADDGvDbGKGOMBvB/xio00c/VR4Ax5kX5/zcA/gbs+L8uw0dceM+b8nA/Jx8XfwbA3zHGvAb8u3KHcOj78RzrIad+fj4ACCF/HsB/E8A/XYa8oQyLe1f+/W/D5m/9GvycfBTc4DvLz8tHACGEA/hvA/h33Gf+Xfl4aFsL4zP8veIJ6mH4WwB+SAj5qlQn/hyA3/6O2/QrgTLf4V8D8GNjzP++9vnD2mH/JADnNvfbAP4cISQihHwF4IewCeEe7wmEkD4hZOj+Dms08iPYsf/z5WF/HsD/s/y7n5OPi7Udbv+u3Bkc9H6U4VozQsg/WH4P/rO1czzeAwghfxrA/xzAP2GMWdY+PyOEsPLv34Odk5/5Ofk4OPQ7y8/LR8N/DcDvGWOqEFH/rnwcdK2F8Rn+XuHfdQM+JRhjJCHkLwP4D2DdMf+aMeZ3v+Nm/argHwLwzwD4L5ytOYD/BYB/ihDyx2FDE74G8D8CAGPM7xJC/l0Afw82ZOsvGWPUR27z5477AP5G6UzOAfxbxph/nxDytwD8u4SQ/yGAbwD8dwA/Jx8ThJAegH8M5ftQ4l/278rHBSHk3wbwjwI4JYQ8B/C/BvAv4vD3438M4P8KIIHNj6znSHocgI45+edhXS7/o/L77G8aY/4irIvp/4YQIgEoAH/RGONMY/ycvEd0zMs/eoPvLD8v7wltc2KM+dew6W0A+HflY6FrLfzZ/V4hZSSLh4eHh4eHh4eHh4eHh8d3Ch/i6+Hh4eHh4eHh4eHh4XEn4Amqh4eHh4eHh4eHh4eHx52AJ6geHh4eHh4eHh4eHh4edwKeoHp4eHh4eHh4eHh4eHjcCXiC6uHh4eHh4eHh4eHh4XEn4Amqh4eHh4eHh4eHh4eHx52AJ6geHh4eHh4eHh4eHh4edwKeoHp4eHh4eHh4eHh4eHjcCfz/Ad4N/jEXJ9VcAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "D.plot_progress()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "9c788536",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7866548895835876"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "D.forward(generate_real()).item()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "0064166f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.264780193567276"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "D.forward(generate_random()).item()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "011aa776",
   "metadata": {},
   "outputs": [],
   "source": [
    "class Generator(nn.Module):\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "        self.model = nn.Sequential(\n",
    "            nn.Linear(1,3),\n",
    "            nn.Sigmoid(),\n",
    "            nn.Linear(3,4),\n",
    "            nn.Sigmoid()\n",
    "        )\n",
    "        #self.model = self.model.cuda()\n",
    "        self.optimiser = torch.optim.SGD(self.parameters(), lr=0.01)\n",
    "        self.counter = 0\n",
    "        self.progress = []\n",
    "        pass\n",
    "    def forward(self, inputs):\n",
    "        return self.model(inputs)\n",
    "    def train(self, D, inputs, targets):\n",
    "        g_outputs = self.forward(inputs)\n",
    "        d_outputs = D.forward(g_outputs)\n",
    "        loss = D.loss_function(d_outputs, targets)\n",
    "        self.optimiser.zero_grad()\n",
    "        loss.backward()\n",
    "        self.optimiser.step()\n",
    "        self.counter +=1\n",
    "        if (self.counter % 10 == 0):\n",
    "            self.progress.append(loss.item())\n",
    "            pass\n",
    "        if (self.counter % 10000 == 0):\n",
    "            print(\"counter = \",self.counter, \"loss = \",loss.item())\n",
    "            pass\n",
    "    def plot_progress(self):\n",
    "        df = pd.DataFrame(self.progress, columns = ['loss'])\n",
    "        df.plot(ylim=(0, 1.0), figsize=(16,8), alpha=0.1, marker='.', grid=True, yticks=(0,0.25,0.5))\n",
    "        pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a65d1d09",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0.6051, 0.4230, 0.5581, 0.4123], grad_fn=<SigmoidBackward0>)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G = Generator()\n",
    "G.forward(torch.FloatTensor([0.5]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a23d57b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "%%time\n",
    "#训练GAN\n",
    "D = Discriminator()\n",
    "G = Generator()\n",
    "image_list = []\n",
    "for i in range(10000):\n",
    "    D.train(generate_real(), torch.FloatTensor([1.0]))\n",
    "    D.train(G.forward(torch.FloatTensor([0.5])).detach(), torch.FloatTensor([0.0]))\n",
    "    G.train(D, torch.FloatTensor([0.5]), torch.FloatTensor([1.0]))\n",
    "    if(i % 1000 == 0):\n",
    "        image_list.append(G.forward(torch.FloatTensor([0.5])).detach().numpy())\n",
    "    pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "id": "9cc5ec94",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "D.plot_progress()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "id": "1247ad0a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "G.plot_progress()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "63ce5061",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0.9572, 0.0349, 0.9530, 0.0400])"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G.forward(torch.FloatTensor([0.5])).detach()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "id": "bda906cf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7ff9080ad5c0>"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (16,8))\n",
    "plt.imshow(numpy.array(image_list).T, interpolation='none', cmap='Blues')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
